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Finding the Third Proportional to 18,594 and 25,224

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Solution

The third proportional to 18,594 and 25,224 is: 34,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594 : 25,224 = 25,224 : x
  2. Step 2: Convert to fraction form
    18,594/25,224 = 25,224/x
  3. Step 3: Cross multiply
    18,594x = 25,224 × 25,224
  4. Step 4: Simplify right side
    18,594x = 636,250,176
  5. Step 5: Solve for x
    x = 636,250,176/18,594
  6. Step 6: Final answer
    x = 34,218.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.