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Finding the Third Proportional to 6,864.75 and 9,323.63

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Solution

The third proportional to 6,864.75 and 9,323.63 is: 12,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 9,323.63 = 9,323.63 : x
  2. Step 2: Convert to fraction form
    6,864.75/9,323.63 = 9,323.63/x
  3. Step 3: Cross multiply
    6,864.75x = 9,323.63 × 9,323.63
  4. Step 4: Simplify right side
    6,864.75x = 86,929,983.14
  5. Step 5: Solve for x
    x = 86,929,983.14/6,864.75
  6. Step 6: Final answer
    x = 12,663.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.