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Finding the Third Proportional to 9,751.01 and 15,128.02

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Solution

The third proportional to 9,751.01 and 15,128.02 is: 23,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.01 : 15,128.02 = 15,128.02 : x
  2. Step 2: Convert to fraction form
    9,751.01/15,128.02 = 15,128.02/x
  3. Step 3: Cross multiply
    9,751.01x = 15,128.02 × 15,128.02
  4. Step 4: Simplify right side
    9,751.01x = 228,856,856.75
  5. Step 5: Solve for x
    x = 228,856,856.75/9,751.01
  6. Step 6: Final answer
    x = 23,470.07

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