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Finding the Third Proportional to 14,974 and 22,459

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Solution

The third proportional to 14,974 and 22,459 is: 33,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974 : 22,459 = 22,459 : x
  2. Step 2: Convert to fraction form
    14,974/22,459 = 22,459/x
  3. Step 3: Cross multiply
    14,974x = 22,459 × 22,459
  4. Step 4: Simplify right side
    14,974x = 504,406,681
  5. Step 5: Solve for x
    x = 504,406,681/14,974
  6. Step 6: Final answer
    x = 33,685.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.