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Finding the Third Proportional to 30,169 and 43,294

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Solution

The third proportional to 30,169 and 43,294 is: 62,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169 : 43,294 = 43,294 : x
  2. Step 2: Convert to fraction form
    30,169/43,294 = 43,294/x
  3. Step 3: Cross multiply
    30,169x = 43,294 × 43,294
  4. Step 4: Simplify right side
    30,169x = 1,874,370,436
  5. Step 5: Solve for x
    x = 1,874,370,436/30,169
  6. Step 6: Final answer
    x = 62,129.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.