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Finding the Third Proportional to 24,080 and 36,584

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Solution

The third proportional to 24,080 and 36,584 is: 55,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,080 : 36,584 = 36,584 : x
  2. Step 2: Convert to fraction form
    24,080/36,584 = 36,584/x
  3. Step 3: Cross multiply
    24,080x = 36,584 × 36,584
  4. Step 4: Simplify right side
    24,080x = 1,338,389,056
  5. Step 5: Solve for x
    x = 1,338,389,056/24,080
  6. Step 6: Final answer
    x = 55,580.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.