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Finding the Third Proportional to 40,138.13 and 61,717.13

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Solution

The third proportional to 40,138.13 and 61,717.13 is: 94,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,138.13 : 61,717.13 = 61,717.13 : x
  2. Step 2: Convert to fraction form
    40,138.13/61,717.13 = 61,717.13/x
  3. Step 3: Cross multiply
    40,138.13x = 61,717.13 × 61,717.13
  4. Step 4: Simplify right side
    40,138.13x = 3,809,003,518.27
  5. Step 5: Solve for x
    x = 3,809,003,518.27/40,138.13
  6. Step 6: Final answer
    x = 94,897.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.