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Finding the Third Proportional to 32,480 and 66,496

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Solution

The third proportional to 32,480 and 66,496 is: 136,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480 : 66,496 = 66,496 : x
  2. Step 2: Convert to fraction form
    32,480/66,496 = 66,496/x
  3. Step 3: Cross multiply
    32,480x = 66,496 × 66,496
  4. Step 4: Simplify right side
    32,480x = 4,421,718,016
  5. Step 5: Solve for x
    x = 4,421,718,016/32,480
  6. Step 6: Final answer
    x = 136,136.64

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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.