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Finding the Third Proportional to 26,332 and 35,472

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Solution

The third proportional to 26,332 and 35,472 is: 47,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,332 : 35,472 = 35,472 : x
  2. Step 2: Convert to fraction form
    26,332/35,472 = 35,472/x
  3. Step 3: Cross multiply
    26,332x = 35,472 × 35,472
  4. Step 4: Simplify right side
    26,332x = 1,258,262,784
  5. Step 5: Solve for x
    x = 1,258,262,784/26,332
  6. Step 6: Final answer
    x = 47,784.55

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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.