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Finding the Third Proportional to 45,885.13 and 66,830.38

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Solution

The third proportional to 45,885.13 and 66,830.38 is: 97,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,885.13 : 66,830.38 = 66,830.38 : x
  2. Step 2: Convert to fraction form
    45,885.13/66,830.38 = 66,830.38/x
  3. Step 3: Cross multiply
    45,885.13x = 66,830.38 × 66,830.38
  4. Step 4: Simplify right side
    45,885.13x = 4,466,299,022.64
  5. Step 5: Solve for x
    x = 4,466,299,022.64/45,885.13
  6. Step 6: Final answer
    x = 97,336.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.