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Finding the Third Proportional to 26,585 and 39,363

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Solution

The third proportional to 26,585 and 39,363 is: 58,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585 : 39,363 = 39,363 : x
  2. Step 2: Convert to fraction form
    26,585/39,363 = 39,363/x
  3. Step 3: Cross multiply
    26,585x = 39,363 × 39,363
  4. Step 4: Simplify right side
    26,585x = 1,549,445,769
  5. Step 5: Solve for x
    x = 1,549,445,769/26,585
  6. Step 6: Final answer
    x = 58,282.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.