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Finding the Third Proportional to 1,444.18 and 2,987.40

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Solution

The third proportional to 1,444.18 and 2,987.40 is: 6,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.18 : 2,987.40 = 2,987.40 : x
  2. Step 2: Convert to fraction form
    1,444.18/2,987.40 = 2,987.40/x
  3. Step 3: Cross multiply
    1,444.18x = 2,987.40 × 2,987.40
  4. Step 4: Simplify right side
    1,444.18x = 8,924,572.76
  5. Step 5: Solve for x
    x = 8,924,572.76/1,444.18
  6. Step 6: Final answer
    x = 6,179.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.