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Finding the Third Proportional to 28,270 and 42,463

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Solution

The third proportional to 28,270 and 42,463 is: 63,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,270 : 42,463 = 42,463 : x
  2. Step 2: Convert to fraction form
    28,270/42,463 = 42,463/x
  3. Step 3: Cross multiply
    28,270x = 42,463 × 42,463
  4. Step 4: Simplify right side
    28,270x = 1,803,106,369
  5. Step 5: Solve for x
    x = 1,803,106,369/28,270
  6. Step 6: Final answer
    x = 63,781.62

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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.