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Finding the Third Proportional to 14,742 and 22,827

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Solution

The third proportional to 14,742 and 22,827 is: 35,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 22,827 = 22,827 : x
  2. Step 2: Convert to fraction form
    14,742/22,827 = 22,827/x
  3. Step 3: Cross multiply
    14,742x = 22,827 × 22,827
  4. Step 4: Simplify right side
    14,742x = 521,071,929
  5. Step 5: Solve for x
    x = 521,071,929/14,742
  6. Step 6: Final answer
    x = 35,346.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.