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Finding the Third Proportional to 15,150.13 and 35,384.50

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Solution

The third proportional to 15,150.13 and 35,384.50 is: 82,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150.13 : 35,384.50 = 35,384.50 : x
  2. Step 2: Convert to fraction form
    15,150.13/35,384.50 = 35,384.50/x
  3. Step 3: Cross multiply
    15,150.13x = 35,384.50 × 35,384.50
  4. Step 4: Simplify right side
    15,150.13x = 1,252,062,840.25
  5. Step 5: Solve for x
    x = 1,252,062,840.25/15,150.13
  6. Step 6: Final answer
    x = 82,643.73

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.