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Finding the Third Proportional to 9,117.56 and 14,096.53

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Solution

The third proportional to 9,117.56 and 14,096.53 is: 21,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.56 : 14,096.53 = 14,096.53 : x
  2. Step 2: Convert to fraction form
    9,117.56/14,096.53 = 14,096.53/x
  3. Step 3: Cross multiply
    9,117.56x = 14,096.53 × 14,096.53
  4. Step 4: Simplify right side
    9,117.56x = 198,712,193.28
  5. Step 5: Solve for x
    x = 198,712,193.28/9,117.56
  6. Step 6: Final answer
    x = 21,794.44

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Why These Related Problems?

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