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Finding the Third Proportional to 45,885.38 and 66,830.75

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Solution

The third proportional to 45,885.38 and 66,830.75 is: 97,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,885.38 : 66,830.75 = 66,830.75 : x
  2. Step 2: Convert to fraction form
    45,885.38/66,830.75 = 66,830.75/x
  3. Step 3: Cross multiply
    45,885.38x = 66,830.75 × 66,830.75
  4. Step 4: Simplify right side
    45,885.38x = 4,466,349,145.56
  5. Step 5: Solve for x
    x = 4,466,349,145.56/45,885.38
  6. Step 6: Final answer
    x = 97,337.10

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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.