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Finding the Third Proportional to 8,053.88 and 12,319.88

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Solution

The third proportional to 8,053.88 and 12,319.88 is: 18,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.88 : 12,319.88 = 12,319.88 : x
  2. Step 2: Convert to fraction form
    8,053.88/12,319.88 = 12,319.88/x
  3. Step 3: Cross multiply
    8,053.88x = 12,319.88 × 12,319.88
  4. Step 4: Simplify right side
    8,053.88x = 151,779,320.02
  5. Step 5: Solve for x
    x = 151,779,320.02/8,053.88
  6. Step 6: Final answer
    x = 18,845.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.