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Finding the Third Proportional to 1,872 and 2,864.81

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Solution

The third proportional to 1,872 and 2,864.81 is: 4,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872 : 2,864.81 = 2,864.81 : x
  2. Step 2: Convert to fraction form
    1,872/2,864.81 = 2,864.81/x
  3. Step 3: Cross multiply
    1,872x = 2,864.81 × 2,864.81
  4. Step 4: Simplify right side
    1,872x = 8,207,150.66
  5. Step 5: Solve for x
    x = 8,207,150.66/1,872
  6. Step 6: Final answer
    x = 4,384.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.