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Finding the Third Proportional to 4,390.31 and 10,363.50

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Solution

The third proportional to 4,390.31 and 10,363.50 is: 24,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.31 : 10,363.50 = 10,363.50 : x
  2. Step 2: Convert to fraction form
    4,390.31/10,363.50 = 10,363.50/x
  3. Step 3: Cross multiply
    4,390.31x = 10,363.50 × 10,363.50
  4. Step 4: Simplify right side
    4,390.31x = 107,402,132.25
  5. Step 5: Solve for x
    x = 107,402,132.25/4,390.31
  6. Step 6: Final answer
    x = 24,463.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.