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Finding the Third Proportional to 4,050 and 9,315

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Solution

The third proportional to 4,050 and 9,315 is: 21,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,050 : 9,315 = 9,315 : x
  2. Step 2: Convert to fraction form
    4,050/9,315 = 9,315/x
  3. Step 3: Cross multiply
    4,050x = 9,315 × 9,315
  4. Step 4: Simplify right side
    4,050x = 86,769,225
  5. Step 5: Solve for x
    x = 86,769,225/4,050
  6. Step 6: Final answer
    x = 21,424.50

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.