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Finding the Third Proportional to 30,294 and 71,841

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Solution

The third proportional to 30,294 and 71,841 is: 170,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 71,841 = 71,841 : x
  2. Step 2: Convert to fraction form
    30,294/71,841 = 71,841/x
  3. Step 3: Cross multiply
    30,294x = 71,841 × 71,841
  4. Step 4: Simplify right side
    30,294x = 5,161,129,281
  5. Step 5: Solve for x
    x = 5,161,129,281/30,294
  6. Step 6: Final answer
    x = 170,368.04

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.