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Finding the Third Proportional to 22,017 and 29,493.75

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Solution

The third proportional to 22,017 and 29,493.75 is: 39,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017 : 29,493.75 = 29,493.75 : x
  2. Step 2: Convert to fraction form
    22,017/29,493.75 = 29,493.75/x
  3. Step 3: Cross multiply
    22,017x = 29,493.75 × 29,493.75
  4. Step 4: Simplify right side
    22,017x = 869,881,289.06
  5. Step 5: Solve for x
    x = 869,881,289.06/22,017
  6. Step 6: Final answer
    x = 39,509.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.