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Finding the Third Proportional to 7,020.84 and 14,537.81

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Solution

The third proportional to 7,020.84 and 14,537.81 is: 30,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.84 : 14,537.81 = 14,537.81 : x
  2. Step 2: Convert to fraction form
    7,020.84/14,537.81 = 14,537.81/x
  3. Step 3: Cross multiply
    7,020.84x = 14,537.81 × 14,537.81
  4. Step 4: Simplify right side
    7,020.84x = 211,347,992.29
  5. Step 5: Solve for x
    x = 211,347,992.29/7,020.84
  6. Step 6: Final answer
    x = 30,102.93

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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.