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Finding the Third Proportional to 12,124.69 and 17,782.03

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Solution

The third proportional to 12,124.69 and 17,782.03 is: 26,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.69 : 17,782.03 = 17,782.03 : x
  2. Step 2: Convert to fraction form
    12,124.69/17,782.03 = 17,782.03/x
  3. Step 3: Cross multiply
    12,124.69x = 17,782.03 × 17,782.03
  4. Step 4: Simplify right side
    12,124.69x = 316,200,635.38
  5. Step 5: Solve for x
    x = 316,200,635.38/12,124.69
  6. Step 6: Final answer
    x = 26,079.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.