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Finding the Third Proportional to 30,162.38 and 65,518.88

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Solution

The third proportional to 30,162.38 and 65,518.88 is: 142,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.38 : 65,518.88 = 65,518.88 : x
  2. Step 2: Convert to fraction form
    30,162.38/65,518.88 = 65,518.88/x
  3. Step 3: Cross multiply
    30,162.38x = 65,518.88 × 65,518.88
  4. Step 4: Simplify right side
    30,162.38x = 4,292,722,981.27
  5. Step 5: Solve for x
    x = 4,292,722,981.27/30,162.38
  6. Step 6: Final answer
    x = 142,320.46

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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.