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Finding the Third Proportional to 14,974 and 23,488.13

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Solution

The third proportional to 14,974 and 23,488.13 is: 36,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974 : 23,488.13 = 23,488.13 : x
  2. Step 2: Convert to fraction form
    14,974/23,488.13 = 23,488.13/x
  3. Step 3: Cross multiply
    14,974x = 23,488.13 × 23,488.13
  4. Step 4: Simplify right side
    14,974x = 551,692,016.02
  5. Step 5: Solve for x
    x = 551,692,016.02/14,974
  6. Step 6: Final answer
    x = 36,843.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.