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Finding the Third Proportional to 2,345.04 and 4,959.19

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Solution

The third proportional to 2,345.04 and 4,959.19 is: 10,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.04 : 4,959.19 = 4,959.19 : x
  2. Step 2: Convert to fraction form
    2,345.04/4,959.19 = 4,959.19/x
  3. Step 3: Cross multiply
    2,345.04x = 4,959.19 × 4,959.19
  4. Step 4: Simplify right side
    2,345.04x = 24,593,598.78
  5. Step 5: Solve for x
    x = 24,593,598.78/2,345.04
  6. Step 6: Final answer
    x = 10,487.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.