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Finding the Third Proportional to 25,831.13 and 39,916.69

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Solution

The third proportional to 25,831.13 and 39,916.69 is: 61,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831.13 : 39,916.69 = 39,916.69 : x
  2. Step 2: Convert to fraction form
    25,831.13/39,916.69 = 39,916.69/x
  3. Step 3: Cross multiply
    25,831.13x = 39,916.69 × 39,916.69
  4. Step 4: Simplify right side
    25,831.13x = 1,593,341,940.97
  5. Step 5: Solve for x
    x = 1,593,341,940.97/25,831.13
  6. Step 6: Final answer
    x = 61,683.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.