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Finding the Third Proportional to 26,262.75 and 35,382

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Solution

The third proportional to 26,262.75 and 35,382 is: 47,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,262.75 : 35,382 = 35,382 : x
  2. Step 2: Convert to fraction form
    26,262.75/35,382 = 35,382/x
  3. Step 3: Cross multiply
    26,262.75x = 35,382 × 35,382
  4. Step 4: Simplify right side
    26,262.75x = 1,251,885,924
  5. Step 5: Solve for x
    x = 1,251,885,924/26,262.75
  6. Step 6: Final answer
    x = 47,667.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.