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Finding the Third Proportional to 14,578 and 22,511

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Solution

The third proportional to 14,578 and 22,511 is: 34,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578 : 22,511 = 22,511 : x
  2. Step 2: Convert to fraction form
    14,578/22,511 = 22,511/x
  3. Step 3: Cross multiply
    14,578x = 22,511 × 22,511
  4. Step 4: Simplify right side
    14,578x = 506,745,121
  5. Step 5: Solve for x
    x = 506,745,121/14,578
  6. Step 6: Final answer
    x = 34,760.95

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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.