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Finding the Third Proportional to 15,831.38 and 25,068

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Solution

The third proportional to 15,831.38 and 25,068 is: 39,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.38 : 25,068 = 25,068 : x
  2. Step 2: Convert to fraction form
    15,831.38/25,068 = 25,068/x
  3. Step 3: Cross multiply
    15,831.38x = 25,068 × 25,068
  4. Step 4: Simplify right side
    15,831.38x = 628,404,624
  5. Step 5: Solve for x
    x = 628,404,624/15,831.38
  6. Step 6: Final answer
    x = 39,693.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.