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Finding the Third Proportional to 9,116.30 and 14,542.03

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Solution

The third proportional to 9,116.30 and 14,542.03 is: 23,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.30 : 14,542.03 = 14,542.03 : x
  2. Step 2: Convert to fraction form
    9,116.30/14,542.03 = 14,542.03/x
  3. Step 3: Cross multiply
    9,116.30x = 14,542.03 × 14,542.03
  4. Step 4: Simplify right side
    9,116.30x = 211,470,672.88
  5. Step 5: Solve for x
    x = 211,470,672.88/9,116.30
  6. Step 6: Final answer
    x = 23,196.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.