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Finding the Third Proportional to 36,947 and 58,514

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Solution

The third proportional to 36,947 and 58,514 is: 92,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947 : 58,514 = 58,514 : x
  2. Step 2: Convert to fraction form
    36,947/58,514 = 58,514/x
  3. Step 3: Cross multiply
    36,947x = 58,514 × 58,514
  4. Step 4: Simplify right side
    36,947x = 3,423,888,196
  5. Step 5: Solve for x
    x = 3,423,888,196/36,947
  6. Step 6: Final answer
    x = 92,670.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.