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Finding the Third Proportional to 57,621.38 and 77,677.31

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Solution

The third proportional to 57,621.38 and 77,677.31 is: 104,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,621.38 : 77,677.31 = 77,677.31 : x
  2. Step 2: Convert to fraction form
    57,621.38/77,677.31 = 77,677.31/x
  3. Step 3: Cross multiply
    57,621.38x = 77,677.31 × 77,677.31
  4. Step 4: Simplify right side
    57,621.38x = 6,033,764,877.22
  5. Step 5: Solve for x
    x = 6,033,764,877.22/57,621.38
  6. Step 6: Final answer
    x = 104,714.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.