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Finding the Third Proportional to 7,054.59 and 15,016.64

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Solution

The third proportional to 7,054.59 and 15,016.64 is: 31,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.59 : 15,016.64 = 15,016.64 : x
  2. Step 2: Convert to fraction form
    7,054.59/15,016.64 = 15,016.64/x
  3. Step 3: Cross multiply
    7,054.59x = 15,016.64 × 15,016.64
  4. Step 4: Simplify right side
    7,054.59x = 225,499,495.66
  5. Step 5: Solve for x
    x = 225,499,495.66/7,054.59
  6. Step 6: Final answer
    x = 31,964.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.