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Finding the Third Proportional to 10,285.73 and 15,069.80

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Solution

The third proportional to 10,285.73 and 15,069.80 is: 22,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.73 : 15,069.80 = 15,069.80 : x
  2. Step 2: Convert to fraction form
    10,285.73/15,069.80 = 15,069.80/x
  3. Step 3: Cross multiply
    10,285.73x = 15,069.80 × 15,069.80
  4. Step 4: Simplify right side
    10,285.73x = 227,098,777.85
  5. Step 5: Solve for x
    x = 227,098,777.85/10,285.73
  6. Step 6: Final answer
    x = 22,079.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.