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Finding the Third Proportional to 14,064.89 and 21,057.47

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Solution

The third proportional to 14,064.89 and 21,057.47 is: 31,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.89 : 21,057.47 = 21,057.47 : x
  2. Step 2: Convert to fraction form
    14,064.89/21,057.47 = 21,057.47/x
  3. Step 3: Cross multiply
    14,064.89x = 21,057.47 × 21,057.47
  4. Step 4: Simplify right side
    14,064.89x = 443,416,990.16
  5. Step 5: Solve for x
    x = 443,416,990.16/14,064.89
  6. Step 6: Final answer
    x = 31,526.52

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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.