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Finding the Third Proportional to 40,304 and 63,548

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Solution

The third proportional to 40,304 and 63,548 is: 100,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,304 : 63,548 = 63,548 : x
  2. Step 2: Convert to fraction form
    40,304/63,548 = 63,548/x
  3. Step 3: Cross multiply
    40,304x = 63,548 × 63,548
  4. Step 4: Simplify right side
    40,304x = 4,038,348,304
  5. Step 5: Solve for x
    x = 4,038,348,304/40,304
  6. Step 6: Final answer
    x = 100,197.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.