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Finding the Third Proportional to 35,695.50 and 46,910.50

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Solution

The third proportional to 35,695.50 and 46,910.50 is: 61,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.50 : 46,910.50 = 46,910.50 : x
  2. Step 2: Convert to fraction form
    35,695.50/46,910.50 = 46,910.50/x
  3. Step 3: Cross multiply
    35,695.50x = 46,910.50 × 46,910.50
  4. Step 4: Simplify right side
    35,695.50x = 2,200,595,010.25
  5. Step 5: Solve for x
    x = 2,200,595,010.25/35,695.50
  6. Step 6: Final answer
    x = 61,649.09

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.