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Finding the Third Proportional to 30,417 and 62,292

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Solution

The third proportional to 30,417 and 62,292 is: 127,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417 : 62,292 = 62,292 : x
  2. Step 2: Convert to fraction form
    30,417/62,292 = 62,292/x
  3. Step 3: Cross multiply
    30,417x = 62,292 × 62,292
  4. Step 4: Simplify right side
    30,417x = 3,880,293,264
  5. Step 5: Solve for x
    x = 3,880,293,264/30,417
  6. Step 6: Final answer
    x = 127,569.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.