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Finding the Third Proportional to 29,743.50 and 42,750.75

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Solution

The third proportional to 29,743.50 and 42,750.75 is: 61,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743.50 : 42,750.75 = 42,750.75 : x
  2. Step 2: Convert to fraction form
    29,743.50/42,750.75 = 42,750.75/x
  3. Step 3: Cross multiply
    29,743.50x = 42,750.75 × 42,750.75
  4. Step 4: Simplify right side
    29,743.50x = 1,827,626,625.56
  5. Step 5: Solve for x
    x = 1,827,626,625.56/29,743.50
  6. Step 6: Final answer
    x = 61,446.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.