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Finding the Third Proportional to 7,274.81 and 15,233.06

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Solution

The third proportional to 7,274.81 and 15,233.06 is: 31,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.81 : 15,233.06 = 15,233.06 : x
  2. Step 2: Convert to fraction form
    7,274.81/15,233.06 = 15,233.06/x
  3. Step 3: Cross multiply
    7,274.81x = 15,233.06 × 15,233.06
  4. Step 4: Simplify right side
    7,274.81x = 232,046,193.13
  5. Step 5: Solve for x
    x = 232,046,193.13/7,274.81
  6. Step 6: Final answer
    x = 31,897.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.