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Finding the Third Proportional to 29,563 and 45,902

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Solution

The third proportional to 29,563 and 45,902 is: 71,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,563 : 45,902 = 45,902 : x
  2. Step 2: Convert to fraction form
    29,563/45,902 = 45,902/x
  3. Step 3: Cross multiply
    29,563x = 45,902 × 45,902
  4. Step 4: Simplify right side
    29,563x = 2,106,993,604
  5. Step 5: Solve for x
    x = 2,106,993,604/29,563
  6. Step 6: Final answer
    x = 71,271.31

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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.