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Finding the Third Proportional to 32,666.06 and 48,871.69

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Solution

The third proportional to 32,666.06 and 48,871.69 is: 73,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666.06 : 48,871.69 = 48,871.69 : x
  2. Step 2: Convert to fraction form
    32,666.06/48,871.69 = 48,871.69/x
  3. Step 3: Cross multiply
    32,666.06x = 48,871.69 × 48,871.69
  4. Step 4: Simplify right side
    32,666.06x = 2,388,441,839.10
  5. Step 5: Solve for x
    x = 2,388,441,839.10/32,666.06
  6. Step 6: Final answer
    x = 73,116.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.