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Finding the Third Proportional to 28,215 and 42,877

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Solution

The third proportional to 28,215 and 42,877 is: 65,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,215 : 42,877 = 42,877 : x
  2. Step 2: Convert to fraction form
    28,215/42,877 = 42,877/x
  3. Step 3: Cross multiply
    28,215x = 42,877 × 42,877
  4. Step 4: Simplify right side
    28,215x = 1,838,437,129
  5. Step 5: Solve for x
    x = 1,838,437,129/28,215
  6. Step 6: Final answer
    x = 65,158.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.