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Finding the Third Proportional to 26,490 and 57,282

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Solution

The third proportional to 26,490 and 57,282 is: 123,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,490 : 57,282 = 57,282 : x
  2. Step 2: Convert to fraction form
    26,490/57,282 = 57,282/x
  3. Step 3: Cross multiply
    26,490x = 57,282 × 57,282
  4. Step 4: Simplify right side
    26,490x = 3,281,227,524
  5. Step 5: Solve for x
    x = 3,281,227,524/26,490
  6. Step 6: Final answer
    x = 123,866.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.