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Finding the Third Proportional to 34,416 and 75,816

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Solution

The third proportional to 34,416 and 75,816 is: 167,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416 : 75,816 = 75,816 : x
  2. Step 2: Convert to fraction form
    34,416/75,816 = 75,816/x
  3. Step 3: Cross multiply
    34,416x = 75,816 × 75,816
  4. Step 4: Simplify right side
    34,416x = 5,748,065,856
  5. Step 5: Solve for x
    x = 5,748,065,856/34,416
  6. Step 6: Final answer
    x = 167,017.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.