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Finding the Third Proportional to 18,346.50 and 23,176.13

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Solution

The third proportional to 18,346.50 and 23,176.13 is: 29,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,346.50 : 23,176.13 = 23,176.13 : x
  2. Step 2: Convert to fraction form
    18,346.50/23,176.13 = 23,176.13/x
  3. Step 3: Cross multiply
    18,346.50x = 23,176.13 × 23,176.13
  4. Step 4: Simplify right side
    18,346.50x = 537,132,770.02
  5. Step 5: Solve for x
    x = 537,132,770.02/18,346.50
  6. Step 6: Final answer
    x = 29,277.12

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.