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Finding the Third Proportional to 14,719 and 22,605

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Solution

The third proportional to 14,719 and 22,605 is: 34,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719 : 22,605 = 22,605 : x
  2. Step 2: Convert to fraction form
    14,719/22,605 = 22,605/x
  3. Step 3: Cross multiply
    14,719x = 22,605 × 22,605
  4. Step 4: Simplify right side
    14,719x = 510,986,025
  5. Step 5: Solve for x
    x = 510,986,025/14,719
  6. Step 6: Final answer
    x = 34,716.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.