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Finding the Third Proportional to 7,005.66 and 15,395.91

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Solution

The third proportional to 7,005.66 and 15,395.91 is: 33,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.66 : 15,395.91 = 15,395.91 : x
  2. Step 2: Convert to fraction form
    7,005.66/15,395.91 = 15,395.91/x
  3. Step 3: Cross multiply
    7,005.66x = 15,395.91 × 15,395.91
  4. Step 4: Simplify right side
    7,005.66x = 237,033,929.26
  5. Step 5: Solve for x
    x = 237,033,929.26/7,005.66
  6. Step 6: Final answer
    x = 33,834.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.