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Finding the Third Proportional to 30,291.47 and 50,309.72

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Solution

The third proportional to 30,291.47 and 50,309.72 is: 83,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.47 : 50,309.72 = 50,309.72 : x
  2. Step 2: Convert to fraction form
    30,291.47/50,309.72 = 50,309.72/x
  3. Step 3: Cross multiply
    30,291.47x = 50,309.72 × 50,309.72
  4. Step 4: Simplify right side
    30,291.47x = 2,531,067,800.70
  5. Step 5: Solve for x
    x = 2,531,067,800.70/30,291.47
  6. Step 6: Final answer
    x = 83,557.12

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.