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Finding the Third Proportional to 2,802.09 and 4,468.92

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Solution

The third proportional to 2,802.09 and 4,468.92 is: 7,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.09 : 4,468.92 = 4,468.92 : x
  2. Step 2: Convert to fraction form
    2,802.09/4,468.92 = 4,468.92/x
  3. Step 3: Cross multiply
    2,802.09x = 4,468.92 × 4,468.92
  4. Step 4: Simplify right side
    2,802.09x = 19,971,262.72
  5. Step 5: Solve for x
    x = 19,971,262.72/2,802.09
  6. Step 6: Final answer
    x = 7,127.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.