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Finding the Third Proportional to 35,019 and 74,959

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Solution

The third proportional to 35,019 and 74,959 is: 160,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,019 : 74,959 = 74,959 : x
  2. Step 2: Convert to fraction form
    35,019/74,959 = 74,959/x
  3. Step 3: Cross multiply
    35,019x = 74,959 × 74,959
  4. Step 4: Simplify right side
    35,019x = 5,618,851,681
  5. Step 5: Solve for x
    x = 5,618,851,681/35,019
  6. Step 6: Final answer
    x = 160,451.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.