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Finding the Third Proportional to 45,600 and 66,825

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Solution

The third proportional to 45,600 and 66,825 is: 97,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,600 : 66,825 = 66,825 : x
  2. Step 2: Convert to fraction form
    45,600/66,825 = 66,825/x
  3. Step 3: Cross multiply
    45,600x = 66,825 × 66,825
  4. Step 4: Simplify right side
    45,600x = 4,465,580,625
  5. Step 5: Solve for x
    x = 4,465,580,625/45,600
  6. Step 6: Final answer
    x = 97,929.40

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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.