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Finding the Third Proportional to 5,875.03 and 12,327.19

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Solution

The third proportional to 5,875.03 and 12,327.19 is: 25,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.03 : 12,327.19 = 12,327.19 : x
  2. Step 2: Convert to fraction form
    5,875.03/12,327.19 = 12,327.19/x
  3. Step 3: Cross multiply
    5,875.03x = 12,327.19 × 12,327.19
  4. Step 4: Simplify right side
    5,875.03x = 151,959,551.66
  5. Step 5: Solve for x
    x = 151,959,551.66/5,875.03
  6. Step 6: Final answer
    x = 25,865.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.