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Finding the Third Proportional to 4,116.52 and 4,501.27

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Solution

The third proportional to 4,116.52 and 4,501.27 is: 4,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.52 : 4,501.27 = 4,501.27 : x
  2. Step 2: Convert to fraction form
    4,116.52/4,501.27 = 4,501.27/x
  3. Step 3: Cross multiply
    4,116.52x = 4,501.27 × 4,501.27
  4. Step 4: Simplify right side
    4,116.52x = 20,261,392.23
  5. Step 5: Solve for x
    x = 20,261,392.23/4,116.52
  6. Step 6: Final answer
    x = 4,921.98

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.