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Finding the Third Proportional to 12,315.66 and 19,108.69

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Solution

The third proportional to 12,315.66 and 19,108.69 is: 29,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.66 : 19,108.69 = 19,108.69 : x
  2. Step 2: Convert to fraction form
    12,315.66/19,108.69 = 19,108.69/x
  3. Step 3: Cross multiply
    12,315.66x = 19,108.69 × 19,108.69
  4. Step 4: Simplify right side
    12,315.66x = 365,141,937.97
  5. Step 5: Solve for x
    x = 365,141,937.97/12,315.66
  6. Step 6: Final answer
    x = 29,648.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.