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Finding the Third Proportional to 35,917.50 and 56,845.13

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Solution

The third proportional to 35,917.50 and 56,845.13 is: 89,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,917.50 : 56,845.13 = 56,845.13 : x
  2. Step 2: Convert to fraction form
    35,917.50/56,845.13 = 56,845.13/x
  3. Step 3: Cross multiply
    35,917.50x = 56,845.13 × 56,845.13
  4. Step 4: Simplify right side
    35,917.50x = 3,231,368,236.27
  5. Step 5: Solve for x
    x = 3,231,368,236.27/35,917.50
  6. Step 6: Final answer
    x = 89,966.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.