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Finding the Third Proportional to 35,374 and 76,260

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Solution

The third proportional to 35,374 and 76,260 is: 164,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,374 : 76,260 = 76,260 : x
  2. Step 2: Convert to fraction form
    35,374/76,260 = 76,260/x
  3. Step 3: Cross multiply
    35,374x = 76,260 × 76,260
  4. Step 4: Simplify right side
    35,374x = 5,815,587,600
  5. Step 5: Solve for x
    x = 5,815,587,600/35,374
  6. Step 6: Final answer
    x = 164,402.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.