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Finding the Third Proportional to 23,624 and 36,556

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Solution

The third proportional to 23,624 and 36,556 is: 56,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624 : 36,556 = 36,556 : x
  2. Step 2: Convert to fraction form
    23,624/36,556 = 36,556/x
  3. Step 3: Cross multiply
    23,624x = 36,556 × 36,556
  4. Step 4: Simplify right side
    23,624x = 1,336,341,136
  5. Step 5: Solve for x
    x = 1,336,341,136/23,624
  6. Step 6: Final answer
    x = 56,567.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.