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Finding the Third Proportional to 30,924 and 67,644

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Solution

The third proportional to 30,924 and 67,644 is: 147,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924 : 67,644 = 67,644 : x
  2. Step 2: Convert to fraction form
    30,924/67,644 = 67,644/x
  3. Step 3: Cross multiply
    30,924x = 67,644 × 67,644
  4. Step 4: Simplify right side
    30,924x = 4,575,710,736
  5. Step 5: Solve for x
    x = 4,575,710,736/30,924
  6. Step 6: Final answer
    x = 147,966.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.