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Finding the Third Proportional to 8,036.98 and 12,515.63

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Solution

The third proportional to 8,036.98 and 12,515.63 is: 19,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.98 : 12,515.63 = 12,515.63 : x
  2. Step 2: Convert to fraction form
    8,036.98/12,515.63 = 12,515.63/x
  3. Step 3: Cross multiply
    8,036.98x = 12,515.63 × 12,515.63
  4. Step 4: Simplify right side
    8,036.98x = 156,640,924.14
  5. Step 5: Solve for x
    x = 156,640,924.14/8,036.98
  6. Step 6: Final answer
    x = 19,490.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.