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Finding the Third Proportional to 22,225 and 32,459

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Solution

The third proportional to 22,225 and 32,459 is: 47,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,225 : 32,459 = 32,459 : x
  2. Step 2: Convert to fraction form
    22,225/32,459 = 32,459/x
  3. Step 3: Cross multiply
    22,225x = 32,459 × 32,459
  4. Step 4: Simplify right side
    22,225x = 1,053,586,681
  5. Step 5: Solve for x
    x = 1,053,586,681/22,225
  6. Step 6: Final answer
    x = 47,405.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.