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Finding the Third Proportional to 35,615.64 and 50,719.61

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Solution

The third proportional to 35,615.64 and 50,719.61 is: 72,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,615.64 : 50,719.61 = 50,719.61 : x
  2. Step 2: Convert to fraction form
    35,615.64/50,719.61 = 50,719.61/x
  3. Step 3: Cross multiply
    35,615.64x = 50,719.61 × 50,719.61
  4. Step 4: Simplify right side
    35,615.64x = 2,572,478,378.91
  5. Step 5: Solve for x
    x = 2,572,478,378.91/35,615.64
  6. Step 6: Final answer
    x = 72,228.90

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.