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Finding the Third Proportional to 30,298 and 50,319

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Solution

The third proportional to 30,298 and 50,319 is: 83,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298 : 50,319 = 50,319 : x
  2. Step 2: Convert to fraction form
    30,298/50,319 = 50,319/x
  3. Step 3: Cross multiply
    30,298x = 50,319 × 50,319
  4. Step 4: Simplify right side
    30,298x = 2,532,001,761
  5. Step 5: Solve for x
    x = 2,532,001,761/30,298
  6. Step 6: Final answer
    x = 83,569.93

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.