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Finding the Third Proportional to 52,585.50 and 79,428

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Solution

The third proportional to 52,585.50 and 79,428 is: 119,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,585.50 : 79,428 = 79,428 : x
  2. Step 2: Convert to fraction form
    52,585.50/79,428 = 79,428/x
  3. Step 3: Cross multiply
    52,585.50x = 79,428 × 79,428
  4. Step 4: Simplify right side
    52,585.50x = 6,308,807,184
  5. Step 5: Solve for x
    x = 6,308,807,184/52,585.50
  6. Step 6: Final answer
    x = 119,972.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.