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Finding the Third Proportional to 45,282 and 66,535.50

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Solution

The third proportional to 45,282 and 66,535.50 is: 97,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,282 : 66,535.50 = 66,535.50 : x
  2. Step 2: Convert to fraction form
    45,282/66,535.50 = 66,535.50/x
  3. Step 3: Cross multiply
    45,282x = 66,535.50 × 66,535.50
  4. Step 4: Simplify right side
    45,282x = 4,426,972,760.25
  5. Step 5: Solve for x
    x = 4,426,972,760.25/45,282
  6. Step 6: Final answer
    x = 97,764.51

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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.