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Finding the Third Proportional to 15,588 and 36,684

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Solution

The third proportional to 15,588 and 36,684 is: 86,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588 : 36,684 = 36,684 : x
  2. Step 2: Convert to fraction form
    15,588/36,684 = 36,684/x
  3. Step 3: Cross multiply
    15,588x = 36,684 × 36,684
  4. Step 4: Simplify right side
    15,588x = 1,345,715,856
  5. Step 5: Solve for x
    x = 1,345,715,856/15,588
  6. Step 6: Final answer
    x = 86,330.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.