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Finding the Third Proportional to 19,565 and 29,442

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Solution

The third proportional to 19,565 and 29,442 is: 44,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565 : 29,442 = 29,442 : x
  2. Step 2: Convert to fraction form
    19,565/29,442 = 29,442/x
  3. Step 3: Cross multiply
    19,565x = 29,442 × 29,442
  4. Step 4: Simplify right side
    19,565x = 866,831,364
  5. Step 5: Solve for x
    x = 866,831,364/19,565
  6. Step 6: Final answer
    x = 44,305.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.