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Finding the Third Proportional to 35,163 and 77,001.75

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Solution

The third proportional to 35,163 and 77,001.75 is: 168,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,163 : 77,001.75 = 77,001.75 : x
  2. Step 2: Convert to fraction form
    35,163/77,001.75 = 77,001.75/x
  3. Step 3: Cross multiply
    35,163x = 77,001.75 × 77,001.75
  4. Step 4: Simplify right side
    35,163x = 5,929,269,503.06
  5. Step 5: Solve for x
    x = 5,929,269,503.06/35,163
  6. Step 6: Final answer
    x = 168,622.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.