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Finding the Third Proportional to 11,151 and 17,938.13

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Solution

The third proportional to 11,151 and 17,938.13 is: 28,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 17,938.13 = 17,938.13 : x
  2. Step 2: Convert to fraction form
    11,151/17,938.13 = 17,938.13/x
  3. Step 3: Cross multiply
    11,151x = 17,938.13 × 17,938.13
  4. Step 4: Simplify right side
    11,151x = 321,776,328.52
  5. Step 5: Solve for x
    x = 321,776,328.52/11,151
  6. Step 6: Final answer
    x = 28,856.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.