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Finding the Third Proportional to 30,294 and 70,398

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Solution

The third proportional to 30,294 and 70,398 is: 163,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 70,398 = 70,398 : x
  2. Step 2: Convert to fraction form
    30,294/70,398 = 70,398/x
  3. Step 3: Cross multiply
    30,294x = 70,398 × 70,398
  4. Step 4: Simplify right side
    30,294x = 4,955,878,404
  5. Step 5: Solve for x
    x = 4,955,878,404/30,294
  6. Step 6: Final answer
    x = 163,592.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.