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Finding the Third Proportional to 16,480 and 22,560

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Solution

The third proportional to 16,480 and 22,560 is: 30,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480 : 22,560 = 22,560 : x
  2. Step 2: Convert to fraction form
    16,480/22,560 = 22,560/x
  3. Step 3: Cross multiply
    16,480x = 22,560 × 22,560
  4. Step 4: Simplify right side
    16,480x = 508,953,600
  5. Step 5: Solve for x
    x = 508,953,600/16,480
  6. Step 6: Final answer
    x = 30,883.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.