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Finding the Third Proportional to 52,033.50 and 112,815.13

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Solution

The third proportional to 52,033.50 and 112,815.13 is: 244,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.50 : 112,815.13 = 112,815.13 : x
  2. Step 2: Convert to fraction form
    52,033.50/112,815.13 = 112,815.13/x
  3. Step 3: Cross multiply
    52,033.50x = 112,815.13 × 112,815.13
  4. Step 4: Simplify right side
    52,033.50x = 12,727,252,428.77
  5. Step 5: Solve for x
    x = 12,727,252,428.77/52,033.50
  6. Step 6: Final answer
    x = 244,597.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.