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Finding the Third Proportional to 15,624 and 22,584

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Solution

The third proportional to 15,624 and 22,584 is: 32,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624 : 22,584 = 22,584 : x
  2. Step 2: Convert to fraction form
    15,624/22,584 = 22,584/x
  3. Step 3: Cross multiply
    15,624x = 22,584 × 22,584
  4. Step 4: Simplify right side
    15,624x = 510,037,056
  5. Step 5: Solve for x
    x = 510,037,056/15,624
  6. Step 6: Final answer
    x = 32,644.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.