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Finding the Third Proportional to 45,885 and 61,915.50

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Solution

The third proportional to 45,885 and 61,915.50 is: 83,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,885 : 61,915.50 = 61,915.50 : x
  2. Step 2: Convert to fraction form
    45,885/61,915.50 = 61,915.50/x
  3. Step 3: Cross multiply
    45,885x = 61,915.50 × 61,915.50
  4. Step 4: Simplify right side
    45,885x = 3,833,529,140.25
  5. Step 5: Solve for x
    x = 3,833,529,140.25/45,885
  6. Step 6: Final answer
    x = 83,546.46

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.