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Finding the Third Proportional to 3,291.75 and 4,973.63

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Solution

The third proportional to 3,291.75 and 4,973.63 is: 7,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.75 : 4,973.63 = 4,973.63 : x
  2. Step 2: Convert to fraction form
    3,291.75/4,973.63 = 4,973.63/x
  3. Step 3: Cross multiply
    3,291.75x = 4,973.63 × 4,973.63
  4. Step 4: Simplify right side
    3,291.75x = 24,736,945.64
  5. Step 5: Solve for x
    x = 24,736,945.64/3,291.75
  6. Step 6: Final answer
    x = 7,514.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.