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Finding the Third Proportional to 2,984.34 and 4,487.91

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Solution

The third proportional to 2,984.34 and 4,487.91 is: 6,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.34 : 4,487.91 = 4,487.91 : x
  2. Step 2: Convert to fraction form
    2,984.34/4,487.91 = 4,487.91/x
  3. Step 3: Cross multiply
    2,984.34x = 4,487.91 × 4,487.91
  4. Step 4: Simplify right side
    2,984.34x = 20,141,302.51
  5. Step 5: Solve for x
    x = 20,141,302.51/2,984.34
  6. Step 6: Final answer
    x = 6,748.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.