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Finding the Third Proportional to 30,288 and 64,893

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Solution

The third proportional to 30,288 and 64,893 is: 139,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288 : 64,893 = 64,893 : x
  2. Step 2: Convert to fraction form
    30,288/64,893 = 64,893/x
  3. Step 3: Cross multiply
    30,288x = 64,893 × 64,893
  4. Step 4: Simplify right side
    30,288x = 4,211,101,449
  5. Step 5: Solve for x
    x = 4,211,101,449/30,288
  6. Step 6: Final answer
    x = 139,035.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.