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Finding the Third Proportional to 25,683.75 and 40,753.13

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Solution

The third proportional to 25,683.75 and 40,753.13 is: 64,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,683.75 : 40,753.13 = 40,753.13 : x
  2. Step 2: Convert to fraction form
    25,683.75/40,753.13 = 40,753.13/x
  3. Step 3: Cross multiply
    25,683.75x = 40,753.13 × 40,753.13
  4. Step 4: Simplify right side
    25,683.75x = 1,660,817,197.27
  5. Step 5: Solve for x
    x = 1,660,817,197.27/25,683.75
  6. Step 6: Final answer
    x = 64,664.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.