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Finding the Third Proportional to 23,302.69 and 47,562.19

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Solution

The third proportional to 23,302.69 and 47,562.19 is: 97,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.69 : 47,562.19 = 47,562.19 : x
  2. Step 2: Convert to fraction form
    23,302.69/47,562.19 = 47,562.19/x
  3. Step 3: Cross multiply
    23,302.69x = 47,562.19 × 47,562.19
  4. Step 4: Simplify right side
    23,302.69x = 2,262,161,679.79
  5. Step 5: Solve for x
    x = 2,262,161,679.79/23,302.69
  6. Step 6: Final answer
    x = 97,077.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.