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Finding the Third Proportional to 7,497.56 and 16,016.06

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Solution

The third proportional to 7,497.56 and 16,016.06 is: 34,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.56 : 16,016.06 = 16,016.06 : x
  2. Step 2: Convert to fraction form
    7,497.56/16,016.06 = 16,016.06/x
  3. Step 3: Cross multiply
    7,497.56x = 16,016.06 × 16,016.06
  4. Step 4: Simplify right side
    7,497.56x = 256,514,258.00
  5. Step 5: Solve for x
    x = 256,514,258.00/7,497.56
  6. Step 6: Final answer
    x = 34,213.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.