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Finding the Third Proportional to 19,701 and 29,959.50

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Solution

The third proportional to 19,701 and 29,959.50 is: 45,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701 : 29,959.50 = 29,959.50 : x
  2. Step 2: Convert to fraction form
    19,701/29,959.50 = 29,959.50/x
  3. Step 3: Cross multiply
    19,701x = 29,959.50 × 29,959.50
  4. Step 4: Simplify right side
    19,701x = 897,571,640.25
  5. Step 5: Solve for x
    x = 897,571,640.25/19,701
  6. Step 6: Final answer
    x = 45,559.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.