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Finding the Third Proportional to 38,746.13 and 55,807.31

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Solution

The third proportional to 38,746.13 and 55,807.31 is: 80,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,746.13 : 55,807.31 = 55,807.31 : x
  2. Step 2: Convert to fraction form
    38,746.13/55,807.31 = 55,807.31/x
  3. Step 3: Cross multiply
    38,746.13x = 55,807.31 × 55,807.31
  4. Step 4: Simplify right side
    38,746.13x = 3,114,456,128.47
  5. Step 5: Solve for x
    x = 3,114,456,128.47/38,746.13
  6. Step 6: Final answer
    x = 80,381.10

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.