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Finding the Third Proportional to 8,944.36 and 13,143.05

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Solution

The third proportional to 8,944.36 and 13,143.05 is: 19,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,944.36 : 13,143.05 = 13,143.05 : x
  2. Step 2: Convert to fraction form
    8,944.36/13,143.05 = 13,143.05/x
  3. Step 3: Cross multiply
    8,944.36x = 13,143.05 × 13,143.05
  4. Step 4: Simplify right side
    8,944.36x = 172,739,681.16
  5. Step 5: Solve for x
    x = 172,739,681.16/8,944.36
  6. Step 6: Final answer
    x = 19,312.69

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Why These Related Problems?

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