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Finding the Third Proportional to 12,995.44 and 13,987.69

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Solution

The third proportional to 12,995.44 and 13,987.69 is: 15,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.44 : 13,987.69 = 13,987.69 : x
  2. Step 2: Convert to fraction form
    12,995.44/13,987.69 = 13,987.69/x
  3. Step 3: Cross multiply
    12,995.44x = 13,987.69 × 13,987.69
  4. Step 4: Simplify right side
    12,995.44x = 195,655,401.60
  5. Step 5: Solve for x
    x = 195,655,401.60/12,995.44
  6. Step 6: Final answer
    x = 15,055.70

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.