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Finding the Third Proportional to 14,898.38 and 32,641.88

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Solution

The third proportional to 14,898.38 and 32,641.88 is: 71,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898.38 : 32,641.88 = 32,641.88 : x
  2. Step 2: Convert to fraction form
    14,898.38/32,641.88 = 32,641.88/x
  3. Step 3: Cross multiply
    14,898.38x = 32,641.88 × 32,641.88
  4. Step 4: Simplify right side
    14,898.38x = 1,065,492,003.52
  5. Step 5: Solve for x
    x = 1,065,492,003.52/14,898.38
  6. Step 6: Final answer
    x = 71,517.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.