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Finding the Third Proportional to 4,315.27 and 9,437.84

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Solution

The third proportional to 4,315.27 and 9,437.84 is: 20,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.27 : 9,437.84 = 9,437.84 : x
  2. Step 2: Convert to fraction form
    4,315.27/9,437.84 = 9,437.84/x
  3. Step 3: Cross multiply
    4,315.27x = 9,437.84 × 9,437.84
  4. Step 4: Simplify right side
    4,315.27x = 89,072,913.08
  5. Step 5: Solve for x
    x = 89,072,913.08/4,315.27
  6. Step 6: Final answer
    x = 20,641.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.