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Finding the Third Proportional to 11,151 and 17,302.88

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Solution

The third proportional to 11,151 and 17,302.88 is: 26,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 17,302.88 = 17,302.88 : x
  2. Step 2: Convert to fraction form
    11,151/17,302.88 = 17,302.88/x
  3. Step 3: Cross multiply
    11,151x = 17,302.88 × 17,302.88
  4. Step 4: Simplify right side
    11,151x = 299,389,483.27
  5. Step 5: Solve for x
    x = 299,389,483.27/11,151
  6. Step 6: Final answer
    x = 26,848.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.