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Finding the Third Proportional to 45,375 and 66,765

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Solution

The third proportional to 45,375 and 66,765 is: 98,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,375 : 66,765 = 66,765 : x
  2. Step 2: Convert to fraction form
    45,375/66,765 = 66,765/x
  3. Step 3: Cross multiply
    45,375x = 66,765 × 66,765
  4. Step 4: Simplify right side
    45,375x = 4,457,565,225
  5. Step 5: Solve for x
    x = 4,457,565,225/45,375
  6. Step 6: Final answer
    x = 98,238.35

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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.