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Finding the Third Proportional to 48,632 and 69,543

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Solution

The third proportional to 48,632 and 69,543 is: 99,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,632 : 69,543 = 69,543 : x
  2. Step 2: Convert to fraction form
    48,632/69,543 = 69,543/x
  3. Step 3: Cross multiply
    48,632x = 69,543 × 69,543
  4. Step 4: Simplify right side
    48,632x = 4,836,228,849
  5. Step 5: Solve for x
    x = 4,836,228,849/48,632
  6. Step 6: Final answer
    x = 99,445.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.