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Finding the Third Proportional to 4,734.07 and 9,980.72

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Solution

The third proportional to 4,734.07 and 9,980.72 is: 21,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.07 : 9,980.72 = 9,980.72 : x
  2. Step 2: Convert to fraction form
    4,734.07/9,980.72 = 9,980.72/x
  3. Step 3: Cross multiply
    4,734.07x = 9,980.72 × 9,980.72
  4. Step 4: Simplify right side
    4,734.07x = 99,614,746.77
  5. Step 5: Solve for x
    x = 99,614,746.77/4,734.07
  6. Step 6: Final answer
    x = 21,042.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.