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Finding the Third Proportional to 1,873.13 and 4,357.55

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Solution

The third proportional to 1,873.13 and 4,357.55 is: 10,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.13 : 4,357.55 = 4,357.55 : x
  2. Step 2: Convert to fraction form
    1,873.13/4,357.55 = 4,357.55/x
  3. Step 3: Cross multiply
    1,873.13x = 4,357.55 × 4,357.55
  4. Step 4: Simplify right side
    1,873.13x = 18,988,214.77
  5. Step 5: Solve for x
    x = 18,988,214.77/1,873.13
  6. Step 6: Final answer
    x = 10,137.19

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.