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Finding the Third Proportional to 30,399 and 65,697

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Solution

The third proportional to 30,399 and 65,697 is: 141,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,399 : 65,697 = 65,697 : x
  2. Step 2: Convert to fraction form
    30,399/65,697 = 65,697/x
  3. Step 3: Cross multiply
    30,399x = 65,697 × 65,697
  4. Step 4: Simplify right side
    30,399x = 4,316,095,809
  5. Step 5: Solve for x
    x = 4,316,095,809/30,399
  6. Step 6: Final answer
    x = 141,981.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.