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Finding the Third Proportional to 4,784.06 and 10,456.59

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Solution

The third proportional to 4,784.06 and 10,456.59 is: 22,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.06 : 10,456.59 = 10,456.59 : x
  2. Step 2: Convert to fraction form
    4,784.06/10,456.59 = 10,456.59/x
  3. Step 3: Cross multiply
    4,784.06x = 10,456.59 × 10,456.59
  4. Step 4: Simplify right side
    4,784.06x = 109,340,352.85
  5. Step 5: Solve for x
    x = 109,340,352.85/4,784.06
  6. Step 6: Final answer
    x = 22,855.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.