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Finding the Third Proportional to 14,812.88 and 32,739.19

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Solution

The third proportional to 14,812.88 and 32,739.19 is: 72,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.88 : 32,739.19 = 32,739.19 : x
  2. Step 2: Convert to fraction form
    14,812.88/32,739.19 = 32,739.19/x
  3. Step 3: Cross multiply
    14,812.88x = 32,739.19 × 32,739.19
  4. Step 4: Simplify right side
    14,812.88x = 1,071,854,398.16
  5. Step 5: Solve for x
    x = 1,071,854,398.16/14,812.88
  6. Step 6: Final answer
    x = 72,359.65

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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.