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Finding the Third Proportional to 2,370.20 and 5,154.05

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Solution

The third proportional to 2,370.20 and 5,154.05 is: 11,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.20 : 5,154.05 = 5,154.05 : x
  2. Step 2: Convert to fraction form
    2,370.20/5,154.05 = 5,154.05/x
  3. Step 3: Cross multiply
    2,370.20x = 5,154.05 × 5,154.05
  4. Step 4: Simplify right side
    2,370.20x = 26,564,199.19
  5. Step 5: Solve for x
    x = 26,564,199.19/2,370.20
  6. Step 6: Final answer
    x = 11,207.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.