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Finding the Third Proportional to 14,700.66 and 22,187.81

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Solution

The third proportional to 14,700.66 and 22,187.81 is: 33,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.66 : 22,187.81 = 22,187.81 : x
  2. Step 2: Convert to fraction form
    14,700.66/22,187.81 = 22,187.81/x
  3. Step 3: Cross multiply
    14,700.66x = 22,187.81 × 22,187.81
  4. Step 4: Simplify right side
    14,700.66x = 492,299,023.54
  5. Step 5: Solve for x
    x = 492,299,023.54/14,700.66
  6. Step 6: Final answer
    x = 33,488.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.