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Finding the Third Proportional to 12,516.19 and 19,373.44

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Solution

The third proportional to 12,516.19 and 19,373.44 is: 29,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516.19 : 19,373.44 = 19,373.44 : x
  2. Step 2: Convert to fraction form
    12,516.19/19,373.44 = 19,373.44/x
  3. Step 3: Cross multiply
    12,516.19x = 19,373.44 × 19,373.44
  4. Step 4: Simplify right side
    12,516.19x = 375,330,080.57
  5. Step 5: Solve for x
    x = 375,330,080.57/12,516.19
  6. Step 6: Final answer
    x = 29,987.57

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Why These Related Problems?

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