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Finding the Third Proportional to 35,650.13 and 46,635.75

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Solution

The third proportional to 35,650.13 and 46,635.75 is: 61,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,650.13 : 46,635.75 = 46,635.75 : x
  2. Step 2: Convert to fraction form
    35,650.13/46,635.75 = 46,635.75/x
  3. Step 3: Cross multiply
    35,650.13x = 46,635.75 × 46,635.75
  4. Step 4: Simplify right side
    35,650.13x = 2,174,893,178.06
  5. Step 5: Solve for x
    x = 2,174,893,178.06/35,650.13
  6. Step 6: Final answer
    x = 61,006.61

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Why These Related Problems?

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