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Finding the Third Proportional to 15,584 and 27,142

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Solution

The third proportional to 15,584 and 27,142 is: 47,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584 : 27,142 = 27,142 : x
  2. Step 2: Convert to fraction form
    15,584/27,142 = 27,142/x
  3. Step 3: Cross multiply
    15,584x = 27,142 × 27,142
  4. Step 4: Simplify right side
    15,584x = 736,688,164
  5. Step 5: Solve for x
    x = 736,688,164/15,584
  6. Step 6: Final answer
    x = 47,272.08

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.