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Finding the Third Proportional to 7,201.13 and 14,898.38

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Solution

The third proportional to 7,201.13 and 14,898.38 is: 30,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.13 : 14,898.38 = 14,898.38 : x
  2. Step 2: Convert to fraction form
    7,201.13/14,898.38 = 14,898.38/x
  3. Step 3: Cross multiply
    7,201.13x = 14,898.38 × 14,898.38
  4. Step 4: Simplify right side
    7,201.13x = 221,961,577.64
  5. Step 5: Solve for x
    x = 221,961,577.64/7,201.13
  6. Step 6: Final answer
    x = 30,823.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.