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Finding the Third Proportional to 3,065.98 and 4,721.41

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Solution

The third proportional to 3,065.98 and 4,721.41 is: 7,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.98 : 4,721.41 = 4,721.41 : x
  2. Step 2: Convert to fraction form
    3,065.98/4,721.41 = 4,721.41/x
  3. Step 3: Cross multiply
    3,065.98x = 4,721.41 × 4,721.41
  4. Step 4: Simplify right side
    3,065.98x = 22,291,750.75
  5. Step 5: Solve for x
    x = 22,291,750.75/3,065.98
  6. Step 6: Final answer
    x = 7,270.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.