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Finding the Third Proportional to 19,948 and 29,534

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Solution

The third proportional to 19,948 and 29,534 is: 43,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948 : 29,534 = 29,534 : x
  2. Step 2: Convert to fraction form
    19,948/29,534 = 29,534/x
  3. Step 3: Cross multiply
    19,948x = 29,534 × 29,534
  4. Step 4: Simplify right side
    19,948x = 872,257,156
  5. Step 5: Solve for x
    x = 872,257,156/19,948
  6. Step 6: Final answer
    x = 43,726.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.