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Finding the Third Proportional to 14,560 and 22,530

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Solution

The third proportional to 14,560 and 22,530 is: 34,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560 : 22,530 = 22,530 : x
  2. Step 2: Convert to fraction form
    14,560/22,530 = 22,530/x
  3. Step 3: Cross multiply
    14,560x = 22,530 × 22,530
  4. Step 4: Simplify right side
    14,560x = 507,600,900
  5. Step 5: Solve for x
    x = 507,600,900/14,560
  6. Step 6: Final answer
    x = 34,862.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.