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Finding the Third Proportional to 29,397 and 41,890.50

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Solution

The third proportional to 29,397 and 41,890.50 is: 59,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,397 : 41,890.50 = 41,890.50 : x
  2. Step 2: Convert to fraction form
    29,397/41,890.50 = 41,890.50/x
  3. Step 3: Cross multiply
    29,397x = 41,890.50 × 41,890.50
  4. Step 4: Simplify right side
    29,397x = 1,754,813,990.25
  5. Step 5: Solve for x
    x = 1,754,813,990.25/29,397
  6. Step 6: Final answer
    x = 59,693.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.