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Finding the Third Proportional to 34,497 and 73,915.50

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Solution

The third proportional to 34,497 and 73,915.50 is: 158,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497 : 73,915.50 = 73,915.50 : x
  2. Step 2: Convert to fraction form
    34,497/73,915.50 = 73,915.50/x
  3. Step 3: Cross multiply
    34,497x = 73,915.50 × 73,915.50
  4. Step 4: Simplify right side
    34,497x = 5,463,501,140.25
  5. Step 5: Solve for x
    x = 5,463,501,140.25/34,497
  6. Step 6: Final answer
    x = 158,376.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.