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Finding the Third Proportional to 19,701 and 30,282.75

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Solution

The third proportional to 19,701 and 30,282.75 is: 46,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701 : 30,282.75 = 30,282.75 : x
  2. Step 2: Convert to fraction form
    19,701/30,282.75 = 30,282.75/x
  3. Step 3: Cross multiply
    19,701x = 30,282.75 × 30,282.75
  4. Step 4: Simplify right side
    19,701x = 917,044,947.56
  5. Step 5: Solve for x
    x = 917,044,947.56/19,701
  6. Step 6: Final answer
    x = 46,548.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.