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Finding the Third Proportional to 8,972 and 19,315

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Solution

The third proportional to 8,972 and 19,315 is: 41,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972 : 19,315 = 19,315 : x
  2. Step 2: Convert to fraction form
    8,972/19,315 = 19,315/x
  3. Step 3: Cross multiply
    8,972x = 19,315 × 19,315
  4. Step 4: Simplify right side
    8,972x = 373,069,225
  5. Step 5: Solve for x
    x = 373,069,225/8,972
  6. Step 6: Final answer
    x = 41,581.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.