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Finding the Third Proportional to 10,047.48 and 22,077.88

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Solution

The third proportional to 10,047.48 and 22,077.88 is: 48,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.48 : 22,077.88 = 22,077.88 : x
  2. Step 2: Convert to fraction form
    10,047.48/22,077.88 = 22,077.88/x
  3. Step 3: Cross multiply
    10,047.48x = 22,077.88 × 22,077.88
  4. Step 4: Simplify right side
    10,047.48x = 487,432,737.00
  5. Step 5: Solve for x
    x = 487,432,737.00/10,047.48
  6. Step 6: Final answer
    x = 48,512.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.