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Finding the Third Proportional to 12,008.25 and 17,701.59

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Solution

The third proportional to 12,008.25 and 17,701.59 is: 26,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.25 : 17,701.59 = 17,701.59 : x
  2. Step 2: Convert to fraction form
    12,008.25/17,701.59 = 17,701.59/x
  3. Step 3: Cross multiply
    12,008.25x = 17,701.59 × 17,701.59
  4. Step 4: Simplify right side
    12,008.25x = 313,346,421.29
  5. Step 5: Solve for x
    x = 313,346,421.29/12,008.25
  6. Step 6: Final answer
    x = 26,094.26

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