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Finding the Third Proportional to 35,014 and 75,854

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Solution

The third proportional to 35,014 and 75,854 is: 164,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,014 : 75,854 = 75,854 : x
  2. Step 2: Convert to fraction form
    35,014/75,854 = 75,854/x
  3. Step 3: Cross multiply
    35,014x = 75,854 × 75,854
  4. Step 4: Simplify right side
    35,014x = 5,753,829,316
  5. Step 5: Solve for x
    x = 5,753,829,316/35,014
  6. Step 6: Final answer
    x = 164,329.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.