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Finding the Third Proportional to 4,502.88 and 9,784.44

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Solution

The third proportional to 4,502.88 and 9,784.44 is: 21,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.88 : 9,784.44 = 9,784.44 : x
  2. Step 2: Convert to fraction form
    4,502.88/9,784.44 = 9,784.44/x
  3. Step 3: Cross multiply
    4,502.88x = 9,784.44 × 9,784.44
  4. Step 4: Simplify right side
    4,502.88x = 95,735,293.63
  5. Step 5: Solve for x
    x = 95,735,293.63/4,502.88
  6. Step 6: Final answer
    x = 21,260.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.