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Finding the Third Proportional to 10,054.13 and 18,695.81

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Solution

The third proportional to 10,054.13 and 18,695.81 is: 34,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.13 : 18,695.81 = 18,695.81 : x
  2. Step 2: Convert to fraction form
    10,054.13/18,695.81 = 18,695.81/x
  3. Step 3: Cross multiply
    10,054.13x = 18,695.81 × 18,695.81
  4. Step 4: Simplify right side
    10,054.13x = 349,533,405.04
  5. Step 5: Solve for x
    x = 349,533,405.04/10,054.13
  6. Step 6: Final answer
    x = 34,765.17

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.