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Finding the Third Proportional to 2,424 and 5,315

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Solution

The third proportional to 2,424 and 5,315 is: 11,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424 : 5,315 = 5,315 : x
  2. Step 2: Convert to fraction form
    2,424/5,315 = 5,315/x
  3. Step 3: Cross multiply
    2,424x = 5,315 × 5,315
  4. Step 4: Simplify right side
    2,424x = 28,249,225
  5. Step 5: Solve for x
    x = 28,249,225/2,424
  6. Step 6: Final answer
    x = 11,653.97

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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.