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Finding the Third Proportional to 9,973.13 and 18,442.69

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Solution

The third proportional to 9,973.13 and 18,442.69 is: 34,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.13 : 18,442.69 = 18,442.69 : x
  2. Step 2: Convert to fraction form
    9,973.13/18,442.69 = 18,442.69/x
  3. Step 3: Cross multiply
    9,973.13x = 18,442.69 × 18,442.69
  4. Step 4: Simplify right side
    9,973.13x = 340,132,722.22
  5. Step 5: Solve for x
    x = 340,132,722.22/9,973.13
  6. Step 6: Final answer
    x = 34,104.93

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.