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Finding the Third Proportional to 35,478 and 54,597

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Solution

The third proportional to 35,478 and 54,597 is: 84,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478 : 54,597 = 54,597 : x
  2. Step 2: Convert to fraction form
    35,478/54,597 = 54,597/x
  3. Step 3: Cross multiply
    35,478x = 54,597 × 54,597
  4. Step 4: Simplify right side
    35,478x = 2,980,832,409
  5. Step 5: Solve for x
    x = 2,980,832,409/35,478
  6. Step 6: Final answer
    x = 84,019.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.