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Finding the Third Proportional to 2,345.04 and 3,440.68

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Solution

The third proportional to 2,345.04 and 3,440.68 is: 5,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.04 : 3,440.68 = 3,440.68 : x
  2. Step 2: Convert to fraction form
    2,345.04/3,440.68 = 3,440.68/x
  3. Step 3: Cross multiply
    2,345.04x = 3,440.68 × 3,440.68
  4. Step 4: Simplify right side
    2,345.04x = 11,838,283.43
  5. Step 5: Solve for x
    x = 11,838,283.43/2,345.04
  6. Step 6: Final answer
    x = 5,048.21

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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.