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Finding the Third Proportional to 23,088.38 and 49,708.13

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Solution

The third proportional to 23,088.38 and 49,708.13 is: 107,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,088.38 : 49,708.13 = 49,708.13 : x
  2. Step 2: Convert to fraction form
    23,088.38/49,708.13 = 49,708.13/x
  3. Step 3: Cross multiply
    23,088.38x = 49,708.13 × 49,708.13
  4. Step 4: Simplify right side
    23,088.38x = 2,470,897,691.02
  5. Step 5: Solve for x
    x = 2,470,897,691.02/23,088.38
  6. Step 6: Final answer
    x = 107,019.13

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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.