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Finding the Third Proportional to 14,870 and 22,579

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Solution

The third proportional to 14,870 and 22,579 is: 34,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870 : 22,579 = 22,579 : x
  2. Step 2: Convert to fraction form
    14,870/22,579 = 22,579/x
  3. Step 3: Cross multiply
    14,870x = 22,579 × 22,579
  4. Step 4: Simplify right side
    14,870x = 509,811,241
  5. Step 5: Solve for x
    x = 509,811,241/14,870
  6. Step 6: Final answer
    x = 34,284.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.