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Finding the Third Proportional to 45,506.25 and 66,771

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Solution

The third proportional to 45,506.25 and 66,771 is: 97,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,506.25 : 66,771 = 66,771 : x
  2. Step 2: Convert to fraction form
    45,506.25/66,771 = 66,771/x
  3. Step 3: Cross multiply
    45,506.25x = 66,771 × 66,771
  4. Step 4: Simplify right side
    45,506.25x = 4,458,366,441
  5. Step 5: Solve for x
    x = 4,458,366,441/45,506.25
  6. Step 6: Final answer
    x = 97,972.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.