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Finding the Third Proportional to 30,235.50 and 65,719.13

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Solution

The third proportional to 30,235.50 and 65,719.13 is: 142,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,235.50 : 65,719.13 = 65,719.13 : x
  2. Step 2: Convert to fraction form
    30,235.50/65,719.13 = 65,719.13/x
  3. Step 3: Cross multiply
    30,235.50x = 65,719.13 × 65,719.13
  4. Step 4: Simplify right side
    30,235.50x = 4,319,003,390.77
  5. Step 5: Solve for x
    x = 4,319,003,390.77/30,235.50
  6. Step 6: Final answer
    x = 142,845.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.