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Finding the Third Proportional to 7,332 and 7,972

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Solution

The third proportional to 7,332 and 7,972 is: 8,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332 : 7,972 = 7,972 : x
  2. Step 2: Convert to fraction form
    7,332/7,972 = 7,972/x
  3. Step 3: Cross multiply
    7,332x = 7,972 × 7,972
  4. Step 4: Simplify right side
    7,332x = 63,552,784
  5. Step 5: Solve for x
    x = 63,552,784/7,332
  6. Step 6: Final answer
    x = 8,667.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.