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Finding the Third Proportional to 13,624 and 22,572

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Solution

The third proportional to 13,624 and 22,572 is: 37,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624 : 22,572 = 22,572 : x
  2. Step 2: Convert to fraction form
    13,624/22,572 = 22,572/x
  3. Step 3: Cross multiply
    13,624x = 22,572 × 22,572
  4. Step 4: Simplify right side
    13,624x = 509,495,184
  5. Step 5: Solve for x
    x = 509,495,184/13,624
  6. Step 6: Final answer
    x = 37,396.89

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.