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Finding the Third Proportional to 1,875.66 and 4,381.59

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Solution

The third proportional to 1,875.66 and 4,381.59 is: 10,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.66 : 4,381.59 = 4,381.59 : x
  2. Step 2: Convert to fraction form
    1,875.66/4,381.59 = 4,381.59/x
  3. Step 3: Cross multiply
    1,875.66x = 4,381.59 × 4,381.59
  4. Step 4: Simplify right side
    1,875.66x = 19,198,363.79
  5. Step 5: Solve for x
    x = 19,198,363.79/1,875.66
  6. Step 6: Final answer
    x = 10,235.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.