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Finding the Third Proportional to 28,427 and 42,641

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Solution

The third proportional to 28,427 and 42,641 is: 63,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,427 : 42,641 = 42,641 : x
  2. Step 2: Convert to fraction form
    28,427/42,641 = 42,641/x
  3. Step 3: Cross multiply
    28,427x = 42,641 × 42,641
  4. Step 4: Simplify right side
    28,427x = 1,818,254,881
  5. Step 5: Solve for x
    x = 1,818,254,881/28,427
  6. Step 6: Final answer
    x = 63,962.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.