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Finding the Third Proportional to 5,740.88 and 14,747.06

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Solution

The third proportional to 5,740.88 and 14,747.06 is: 37,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.88 : 14,747.06 = 14,747.06 : x
  2. Step 2: Convert to fraction form
    5,740.88/14,747.06 = 14,747.06/x
  3. Step 3: Cross multiply
    5,740.88x = 14,747.06 × 14,747.06
  4. Step 4: Simplify right side
    5,740.88x = 217,475,852.38
  5. Step 5: Solve for x
    x = 217,475,852.38/5,740.88
  6. Step 6: Final answer
    x = 37,882.00

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.