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Finding the Third Proportional to 5,564 and 13,478

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Solution

The third proportional to 5,564 and 13,478 is: 32,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564 : 13,478 = 13,478 : x
  2. Step 2: Convert to fraction form
    5,564/13,478 = 13,478/x
  3. Step 3: Cross multiply
    5,564x = 13,478 × 13,478
  4. Step 4: Simplify right side
    5,564x = 181,656,484
  5. Step 5: Solve for x
    x = 181,656,484/5,564
  6. Step 6: Final answer
    x = 32,648.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.