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Finding the Third Proportional to 7,120.41 and 15,335.16

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Solution

The third proportional to 7,120.41 and 15,335.16 is: 33,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.41 : 15,335.16 = 15,335.16 : x
  2. Step 2: Convert to fraction form
    7,120.41/15,335.16 = 15,335.16/x
  3. Step 3: Cross multiply
    7,120.41x = 15,335.16 × 15,335.16
  4. Step 4: Simplify right side
    7,120.41x = 235,167,017.21
  5. Step 5: Solve for x
    x = 235,167,017.21/7,120.41
  6. Step 6: Final answer
    x = 33,027.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.