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Finding the Third Proportional to 4,762.97 and 12,340.69

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Solution

The third proportional to 4,762.97 and 12,340.69 is: 31,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.97 : 12,340.69 = 12,340.69 : x
  2. Step 2: Convert to fraction form
    4,762.97/12,340.69 = 12,340.69/x
  3. Step 3: Cross multiply
    4,762.97x = 12,340.69 × 12,340.69
  4. Step 4: Simplify right side
    4,762.97x = 152,292,567.97
  5. Step 5: Solve for x
    x = 152,292,567.97/4,762.97
  6. Step 6: Final answer
    x = 31,974.30

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.