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Finding the Third Proportional to 35,715 and 57,352.50

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Solution

The third proportional to 35,715 and 57,352.50 is: 92,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715 : 57,352.50 = 57,352.50 : x
  2. Step 2: Convert to fraction form
    35,715/57,352.50 = 57,352.50/x
  3. Step 3: Cross multiply
    35,715x = 57,352.50 × 57,352.50
  4. Step 4: Simplify right side
    35,715x = 3,289,309,256.25
  5. Step 5: Solve for x
    x = 3,289,309,256.25/35,715
  6. Step 6: Final answer
    x = 92,098.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.