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Finding the Third Proportional to 7,445.25 and 15,670.97

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Solution

The third proportional to 7,445.25 and 15,670.97 is: 32,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.25 : 15,670.97 = 15,670.97 : x
  2. Step 2: Convert to fraction form
    7,445.25/15,670.97 = 15,670.97/x
  3. Step 3: Cross multiply
    7,445.25x = 15,670.97 × 15,670.97
  4. Step 4: Simplify right side
    7,445.25x = 245,579,261.56
  5. Step 5: Solve for x
    x = 245,579,261.56/7,445.25
  6. Step 6: Final answer
    x = 32,984.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.