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Finding the Third Proportional to 10,988.16 and 17,514.98

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Solution

The third proportional to 10,988.16 and 17,514.98 is: 27,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.16 : 17,514.98 = 17,514.98 : x
  2. Step 2: Convert to fraction form
    10,988.16/17,514.98 = 17,514.98/x
  3. Step 3: Cross multiply
    10,988.16x = 17,514.98 × 17,514.98
  4. Step 4: Simplify right side
    10,988.16x = 306,774,677.66
  5. Step 5: Solve for x
    x = 306,774,677.66/10,988.16
  6. Step 6: Final answer
    x = 27,918.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.