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Finding the Third Proportional to 32,780.53 and 72,451.13

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Solution

The third proportional to 32,780.53 and 72,451.13 is: 160,130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.53 : 72,451.13 = 72,451.13 : x
  2. Step 2: Convert to fraction form
    32,780.53/72,451.13 = 72,451.13/x
  3. Step 3: Cross multiply
    32,780.53x = 72,451.13 × 72,451.13
  4. Step 4: Simplify right side
    32,780.53x = 5,249,165,513.77
  5. Step 5: Solve for x
    x = 5,249,165,513.77/32,780.53
  6. Step 6: Final answer
    x = 160,130.58

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.