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Finding the Third Proportional to 9,746.25 and 15,078.75

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Solution

The third proportional to 9,746.25 and 15,078.75 is: 23,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.25 : 15,078.75 = 15,078.75 : x
  2. Step 2: Convert to fraction form
    9,746.25/15,078.75 = 15,078.75/x
  3. Step 3: Cross multiply
    9,746.25x = 15,078.75 × 15,078.75
  4. Step 4: Simplify right side
    9,746.25x = 227,368,701.56
  5. Step 5: Solve for x
    x = 227,368,701.56/9,746.25
  6. Step 6: Final answer
    x = 23,328.84

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Why These Related Problems?

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