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Finding the Third Proportional to 31,298 and 42,915

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Solution

The third proportional to 31,298 and 42,915 is: 58,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298 : 42,915 = 42,915 : x
  2. Step 2: Convert to fraction form
    31,298/42,915 = 42,915/x
  3. Step 3: Cross multiply
    31,298x = 42,915 × 42,915
  4. Step 4: Simplify right side
    31,298x = 1,841,697,225
  5. Step 5: Solve for x
    x = 1,841,697,225/31,298
  6. Step 6: Final answer
    x = 58,843.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.