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Finding the Third Proportional to 26,282 and 39,428

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Solution

The third proportional to 26,282 and 39,428 is: 59,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,282 : 39,428 = 39,428 : x
  2. Step 2: Convert to fraction form
    26,282/39,428 = 39,428/x
  3. Step 3: Cross multiply
    26,282x = 39,428 × 39,428
  4. Step 4: Simplify right side
    26,282x = 1,554,567,184
  5. Step 5: Solve for x
    x = 1,554,567,184/26,282
  6. Step 6: Final answer
    x = 59,149.50

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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.