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Finding the Third Proportional to 12,165.19 and 22,978.69

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Solution

The third proportional to 12,165.19 and 22,978.69 is: 43,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 22,978.69 = 22,978.69 : x
  2. Step 2: Convert to fraction form
    12,165.19/22,978.69 = 22,978.69/x
  3. Step 3: Cross multiply
    12,165.19x = 22,978.69 × 22,978.69
  4. Step 4: Simplify right side
    12,165.19x = 528,020,079.22
  5. Step 5: Solve for x
    x = 528,020,079.22/12,165.19
  6. Step 6: Final answer
    x = 43,404.19

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These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.