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Finding the Third Proportional to 11,849.06 and 17,848.69

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Solution

The third proportional to 11,849.06 and 17,848.69 is: 26,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.06 : 17,848.69 = 17,848.69 : x
  2. Step 2: Convert to fraction form
    11,849.06/17,848.69 = 17,848.69/x
  3. Step 3: Cross multiply
    11,849.06x = 17,848.69 × 17,848.69
  4. Step 4: Simplify right side
    11,849.06x = 318,575,645.47
  5. Step 5: Solve for x
    x = 318,575,645.47/11,849.06
  6. Step 6: Final answer
    x = 26,886.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.