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Finding the Third Proportional to 35,600 and 76,708

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Solution

The third proportional to 35,600 and 76,708 is: 165,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,600 : 76,708 = 76,708 : x
  2. Step 2: Convert to fraction form
    35,600/76,708 = 76,708/x
  3. Step 3: Cross multiply
    35,600x = 76,708 × 76,708
  4. Step 4: Simplify right side
    35,600x = 5,884,117,264
  5. Step 5: Solve for x
    x = 5,884,117,264/35,600
  6. Step 6: Final answer
    x = 165,284.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.