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Finding the Third Proportional to 2,209.25 and 3,247.63

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Solution

The third proportional to 2,209.25 and 3,247.63 is: 4,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.25 : 3,247.63 = 3,247.63 : x
  2. Step 2: Convert to fraction form
    2,209.25/3,247.63 = 3,247.63/x
  3. Step 3: Cross multiply
    2,209.25x = 3,247.63 × 3,247.63
  4. Step 4: Simplify right side
    2,209.25x = 10,547,068.14
  5. Step 5: Solve for x
    x = 10,547,068.14/2,209.25
  6. Step 6: Final answer
    x = 4,774.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.