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Finding the Third Proportional to 4,748.63 and 7,371.84

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Solution

The third proportional to 4,748.63 and 7,371.84 is: 11,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.63 : 7,371.84 = 7,371.84 : x
  2. Step 2: Convert to fraction form
    4,748.63/7,371.84 = 7,371.84/x
  3. Step 3: Cross multiply
    4,748.63x = 7,371.84 × 7,371.84
  4. Step 4: Simplify right side
    4,748.63x = 54,344,080.27
  5. Step 5: Solve for x
    x = 54,344,080.27/4,748.63
  6. Step 6: Final answer
    x = 11,444.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.