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Finding the Third Proportional to 35,613 and 55,363.50

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Solution

The third proportional to 35,613 and 55,363.50 is: 86,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613 : 55,363.50 = 55,363.50 : x
  2. Step 2: Convert to fraction form
    35,613/55,363.50 = 55,363.50/x
  3. Step 3: Cross multiply
    35,613x = 55,363.50 × 55,363.50
  4. Step 4: Simplify right side
    35,613x = 3,065,117,132.25
  5. Step 5: Solve for x
    x = 3,065,117,132.25/35,613
  6. Step 6: Final answer
    x = 86,067.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.