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Finding the Third Proportional to 6,353.50 and 9,664.25

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Solution

The third proportional to 6,353.50 and 9,664.25 is: 14,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.50 : 9,664.25 = 9,664.25 : x
  2. Step 2: Convert to fraction form
    6,353.50/9,664.25 = 9,664.25/x
  3. Step 3: Cross multiply
    6,353.50x = 9,664.25 × 9,664.25
  4. Step 4: Simplify right side
    6,353.50x = 93,397,728.06
  5. Step 5: Solve for x
    x = 93,397,728.06/6,353.50
  6. Step 6: Final answer
    x = 14,700.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.