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Finding the Third Proportional to 8,312 and 10,972

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Solution

The third proportional to 8,312 and 10,972 is: 14,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 10,972 = 10,972 : x
  2. Step 2: Convert to fraction form
    8,312/10,972 = 10,972/x
  3. Step 3: Cross multiply
    8,312x = 10,972 × 10,972
  4. Step 4: Simplify right side
    8,312x = 120,384,784
  5. Step 5: Solve for x
    x = 120,384,784/8,312
  6. Step 6: Final answer
    x = 14,483.25

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.