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Finding the Third Proportional to 9,216 and 14,614.50

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Solution

The third proportional to 9,216 and 14,614.50 is: 23,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 14,614.50 = 14,614.50 : x
  2. Step 2: Convert to fraction form
    9,216/14,614.50 = 14,614.50/x
  3. Step 3: Cross multiply
    9,216x = 14,614.50 × 14,614.50
  4. Step 4: Simplify right side
    9,216x = 213,583,610.25
  5. Step 5: Solve for x
    x = 213,583,610.25/9,216
  6. Step 6: Final answer
    x = 23,175.30

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Why These Related Problems?

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