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Finding the Third Proportional to 7,965 and 16,328.25

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Solution

The third proportional to 7,965 and 16,328.25 is: 33,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965 : 16,328.25 = 16,328.25 : x
  2. Step 2: Convert to fraction form
    7,965/16,328.25 = 16,328.25/x
  3. Step 3: Cross multiply
    7,965x = 16,328.25 × 16,328.25
  4. Step 4: Simplify right side
    7,965x = 266,611,748.06
  5. Step 5: Solve for x
    x = 266,611,748.06/7,965
  6. Step 6: Final answer
    x = 33,472.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.