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Finding the Third Proportional to 19,246 and 28,996

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Solution

The third proportional to 19,246 and 28,996 is: 43,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,246 : 28,996 = 28,996 : x
  2. Step 2: Convert to fraction form
    19,246/28,996 = 28,996/x
  3. Step 3: Cross multiply
    19,246x = 28,996 × 28,996
  4. Step 4: Simplify right side
    19,246x = 840,768,016
  5. Step 5: Solve for x
    x = 840,768,016/19,246
  6. Step 6: Final answer
    x = 43,685.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.