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Finding the Third Proportional to 2,445.19 and 4,742.30

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Solution

The third proportional to 2,445.19 and 4,742.30 is: 9,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.19 : 4,742.30 = 4,742.30 : x
  2. Step 2: Convert to fraction form
    2,445.19/4,742.30 = 4,742.30/x
  3. Step 3: Cross multiply
    2,445.19x = 4,742.30 × 4,742.30
  4. Step 4: Simplify right side
    2,445.19x = 22,489,379.65
  5. Step 5: Solve for x
    x = 22,489,379.65/2,445.19
  6. Step 6: Final answer
    x = 9,197.40

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.