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Finding the Third Proportional to 29,046.75 and 40,903.50

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Solution

The third proportional to 29,046.75 and 40,903.50 is: 57,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046.75 : 40,903.50 = 40,903.50 : x
  2. Step 2: Convert to fraction form
    29,046.75/40,903.50 = 40,903.50/x
  3. Step 3: Cross multiply
    29,046.75x = 40,903.50 × 40,903.50
  4. Step 4: Simplify right side
    29,046.75x = 1,673,096,312.25
  5. Step 5: Solve for x
    x = 1,673,096,312.25/29,046.75
  6. Step 6: Final answer
    x = 57,600.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.