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Finding the Third Proportional to 2,342.67 and 4,970.11

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Solution

The third proportional to 2,342.67 and 4,970.11 is: 10,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.67 : 4,970.11 = 4,970.11 : x
  2. Step 2: Convert to fraction form
    2,342.67/4,970.11 = 4,970.11/x
  3. Step 3: Cross multiply
    2,342.67x = 4,970.11 × 4,970.11
  4. Step 4: Simplify right side
    2,342.67x = 24,701,987.20
  5. Step 5: Solve for x
    x = 24,701,987.20/2,342.67
  6. Step 6: Final answer
    x = 10,544.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.