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Finding the Third Proportional to 26,498 and 42,915

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Solution

The third proportional to 26,498 and 42,915 is: 69,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498 : 42,915 = 42,915 : x
  2. Step 2: Convert to fraction form
    26,498/42,915 = 42,915/x
  3. Step 3: Cross multiply
    26,498x = 42,915 × 42,915
  4. Step 4: Simplify right side
    26,498x = 1,841,697,225
  5. Step 5: Solve for x
    x = 1,841,697,225/26,498
  6. Step 6: Final answer
    x = 69,503.25

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.