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Finding the Third Proportional to 53,641 and 63,523

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Solution

The third proportional to 53,641 and 63,523 is: 75,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,641 : 63,523 = 63,523 : x
  2. Step 2: Convert to fraction form
    53,641/63,523 = 63,523/x
  3. Step 3: Cross multiply
    53,641x = 63,523 × 63,523
  4. Step 4: Simplify right side
    53,641x = 4,035,171,529
  5. Step 5: Solve for x
    x = 4,035,171,529/53,641
  6. Step 6: Final answer
    x = 75,225.51

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.