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Finding the Third Proportional to 22,497.75 and 47,764.13

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Solution

The third proportional to 22,497.75 and 47,764.13 is: 101,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.75 : 47,764.13 = 47,764.13 : x
  2. Step 2: Convert to fraction form
    22,497.75/47,764.13 = 47,764.13/x
  3. Step 3: Cross multiply
    22,497.75x = 47,764.13 × 47,764.13
  4. Step 4: Simplify right side
    22,497.75x = 2,281,411,637.02
  5. Step 5: Solve for x
    x = 2,281,411,637.02/22,497.75
  6. Step 6: Final answer
    x = 101,406.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.