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Finding the Third Proportional to 9,492.75 and 15,150.38

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Solution

The third proportional to 9,492.75 and 15,150.38 is: 24,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.75 : 15,150.38 = 15,150.38 : x
  2. Step 2: Convert to fraction form
    9,492.75/15,150.38 = 15,150.38/x
  3. Step 3: Cross multiply
    9,492.75x = 15,150.38 × 15,150.38
  4. Step 4: Simplify right side
    9,492.75x = 229,533,862.64
  5. Step 5: Solve for x
    x = 229,533,862.64/9,492.75
  6. Step 6: Final answer
    x = 24,179.91

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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.