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Finding the Third Proportional to 29,497.50 and 37,840.50

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Solution

The third proportional to 29,497.50 and 37,840.50 is: 48,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497.50 : 37,840.50 = 37,840.50 : x
  2. Step 2: Convert to fraction form
    29,497.50/37,840.50 = 37,840.50/x
  3. Step 3: Cross multiply
    29,497.50x = 37,840.50 × 37,840.50
  4. Step 4: Simplify right side
    29,497.50x = 1,431,903,440.25
  5. Step 5: Solve for x
    x = 1,431,903,440.25/29,497.50
  6. Step 6: Final answer
    x = 48,543.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.