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Finding the Third Proportional to 55,018 and 74,295.50

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Solution

The third proportional to 55,018 and 74,295.50 is: 100,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,018 : 74,295.50 = 74,295.50 : x
  2. Step 2: Convert to fraction form
    55,018/74,295.50 = 74,295.50/x
  3. Step 3: Cross multiply
    55,018x = 74,295.50 × 74,295.50
  4. Step 4: Simplify right side
    55,018x = 5,519,821,320.25
  5. Step 5: Solve for x
    x = 5,519,821,320.25/55,018
  6. Step 6: Final answer
    x = 100,327.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.