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Finding the Third Proportional to 24,384.38 and 52,406.06

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Solution

The third proportional to 24,384.38 and 52,406.06 is: 112,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.38 : 52,406.06 = 52,406.06 : x
  2. Step 2: Convert to fraction form
    24,384.38/52,406.06 = 52,406.06/x
  3. Step 3: Cross multiply
    24,384.38x = 52,406.06 × 52,406.06
  4. Step 4: Simplify right side
    24,384.38x = 2,746,395,386.75
  5. Step 5: Solve for x
    x = 2,746,395,386.75/24,384.38
  6. Step 6: Final answer
    x = 112,629.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.