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Finding the Third Proportional to 29,420 and 45,588

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Solution

The third proportional to 29,420 and 45,588 is: 70,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,420 : 45,588 = 45,588 : x
  2. Step 2: Convert to fraction form
    29,420/45,588 = 45,588/x
  3. Step 3: Cross multiply
    29,420x = 45,588 × 45,588
  4. Step 4: Simplify right side
    29,420x = 2,078,265,744
  5. Step 5: Solve for x
    x = 2,078,265,744/29,420
  6. Step 6: Final answer
    x = 70,641.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.