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Finding the Third Proportional to 15,484 and 20,804

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Solution

The third proportional to 15,484 and 20,804 is: 27,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,484 : 20,804 = 20,804 : x
  2. Step 2: Convert to fraction form
    15,484/20,804 = 20,804/x
  3. Step 3: Cross multiply
    15,484x = 20,804 × 20,804
  4. Step 4: Simplify right side
    15,484x = 432,806,416
  5. Step 5: Solve for x
    x = 432,806,416/15,484
  6. Step 6: Final answer
    x = 27,951.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.