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Finding the Third Proportional to 8,070.19 and 12,336.47

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Solution

The third proportional to 8,070.19 and 12,336.47 is: 18,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.19 : 12,336.47 = 12,336.47 : x
  2. Step 2: Convert to fraction form
    8,070.19/12,336.47 = 12,336.47/x
  3. Step 3: Cross multiply
    8,070.19x = 12,336.47 × 12,336.47
  4. Step 4: Simplify right side
    8,070.19x = 152,188,461.22
  5. Step 5: Solve for x
    x = 152,188,461.22/8,070.19
  6. Step 6: Final answer
    x = 18,858.11

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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.