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Finding the Third Proportional to 22,102.88 and 47,710.13

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Solution

The third proportional to 22,102.88 and 47,710.13 is: 102,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.88 : 47,710.13 = 47,710.13 : x
  2. Step 2: Convert to fraction form
    22,102.88/47,710.13 = 47,710.13/x
  3. Step 3: Cross multiply
    22,102.88x = 47,710.13 × 47,710.13
  4. Step 4: Simplify right side
    22,102.88x = 2,276,256,027.52
  5. Step 5: Solve for x
    x = 2,276,256,027.52/22,102.88
  6. Step 6: Final answer
    x = 102,984.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.