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Finding the Third Proportional to 30,663.56 and 46,686.38

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Solution

The third proportional to 30,663.56 and 46,686.38 is: 71,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663.56 : 46,686.38 = 46,686.38 : x
  2. Step 2: Convert to fraction form
    30,663.56/46,686.38 = 46,686.38/x
  3. Step 3: Cross multiply
    30,663.56x = 46,686.38 × 46,686.38
  4. Step 4: Simplify right side
    30,663.56x = 2,179,617,610.64
  5. Step 5: Solve for x
    x = 2,179,617,610.64/30,663.56
  6. Step 6: Final answer
    x = 71,081.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.