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Finding the Third Proportional to 32,761.88 and 77,014.13

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Solution

The third proportional to 32,761.88 and 77,014.13 is: 181,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761.88 : 77,014.13 = 77,014.13 : x
  2. Step 2: Convert to fraction form
    32,761.88/77,014.13 = 77,014.13/x
  3. Step 3: Cross multiply
    32,761.88x = 77,014.13 × 77,014.13
  4. Step 4: Simplify right side
    32,761.88x = 5,931,175,449.52
  5. Step 5: Solve for x
    x = 5,931,175,449.52/32,761.88
  6. Step 6: Final answer
    x = 181,038.95

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.