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Finding the Third Proportional to 45,278.50 and 66,530

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Solution

The third proportional to 45,278.50 and 66,530 is: 97,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,278.50 : 66,530 = 66,530 : x
  2. Step 2: Convert to fraction form
    45,278.50/66,530 = 66,530/x
  3. Step 3: Cross multiply
    45,278.50x = 66,530 × 66,530
  4. Step 4: Simplify right side
    45,278.50x = 4,426,240,900
  5. Step 5: Solve for x
    x = 4,426,240,900/45,278.50
  6. Step 6: Final answer
    x = 97,755.91

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