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Finding the Third Proportional to 37,409.63 and 54,718.88

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Solution

The third proportional to 37,409.63 and 54,718.88 is: 80,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409.63 : 54,718.88 = 54,718.88 : x
  2. Step 2: Convert to fraction form
    37,409.63/54,718.88 = 54,718.88/x
  3. Step 3: Cross multiply
    37,409.63x = 54,718.88 × 54,718.88
  4. Step 4: Simplify right side
    37,409.63x = 2,994,155,281.27
  5. Step 5: Solve for x
    x = 2,994,155,281.27/37,409.63
  6. Step 6: Final answer
    x = 80,037.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.