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Finding the Third Proportional to 18,054.14 and 38,447.16

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Solution

The third proportional to 18,054.14 and 38,447.16 is: 81,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,054.14 : 38,447.16 = 38,447.16 : x
  2. Step 2: Convert to fraction form
    18,054.14/38,447.16 = 38,447.16/x
  3. Step 3: Cross multiply
    18,054.14x = 38,447.16 × 38,447.16
  4. Step 4: Simplify right side
    18,054.14x = 1,478,183,823.71
  5. Step 5: Solve for x
    x = 1,478,183,823.71/18,054.14
  6. Step 6: Final answer
    x = 81,875.06

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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.