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Finding the Third Proportional to 19,429 and 40,240

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Solution

The third proportional to 19,429 and 40,240 is: 83,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429 : 40,240 = 40,240 : x
  2. Step 2: Convert to fraction form
    19,429/40,240 = 40,240/x
  3. Step 3: Cross multiply
    19,429x = 40,240 × 40,240
  4. Step 4: Simplify right side
    19,429x = 1,619,257,600
  5. Step 5: Solve for x
    x = 1,619,257,600/19,429
  6. Step 6: Final answer
    x = 83,342.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.