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Finding the Third Proportional to 30,193 and 65,580.13

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Solution

The third proportional to 30,193 and 65,580.13 is: 142,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193 : 65,580.13 = 65,580.13 : x
  2. Step 2: Convert to fraction form
    30,193/65,580.13 = 65,580.13/x
  3. Step 3: Cross multiply
    30,193x = 65,580.13 × 65,580.13
  4. Step 4: Simplify right side
    30,193x = 4,300,752,795.02
  5. Step 5: Solve for x
    x = 4,300,752,795.02/30,193
  6. Step 6: Final answer
    x = 142,442.05

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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.