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Finding the Third Proportional to 12,070.88 and 17,674.13

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Solution

The third proportional to 12,070.88 and 17,674.13 is: 25,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.88 : 17,674.13 = 17,674.13 : x
  2. Step 2: Convert to fraction form
    12,070.88/17,674.13 = 17,674.13/x
  3. Step 3: Cross multiply
    12,070.88x = 17,674.13 × 17,674.13
  4. Step 4: Simplify right side
    12,070.88x = 312,374,694.52
  5. Step 5: Solve for x
    x = 312,374,694.52/12,070.88
  6. Step 6: Final answer
    x = 25,878.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.