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Finding the Third Proportional to 35,260 and 54,008

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Solution

The third proportional to 35,260 and 54,008 is: 82,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,260 : 54,008 = 54,008 : x
  2. Step 2: Convert to fraction form
    35,260/54,008 = 54,008/x
  3. Step 3: Cross multiply
    35,260x = 54,008 × 54,008
  4. Step 4: Simplify right side
    35,260x = 2,916,864,064
  5. Step 5: Solve for x
    x = 2,916,864,064/35,260
  6. Step 6: Final answer
    x = 82,724.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.