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Finding the Third Proportional to 4,785 and 7,029.75

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Solution

The third proportional to 4,785 and 7,029.75 is: 10,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785 : 7,029.75 = 7,029.75 : x
  2. Step 2: Convert to fraction form
    4,785/7,029.75 = 7,029.75/x
  3. Step 3: Cross multiply
    4,785x = 7,029.75 × 7,029.75
  4. Step 4: Simplify right side
    4,785x = 49,417,385.06
  5. Step 5: Solve for x
    x = 49,417,385.06/4,785
  6. Step 6: Final answer
    x = 10,327.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.