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Finding the Third Proportional to 35,820 and 65,720

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Solution

The third proportional to 35,820 and 65,720 is: 120,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820 : 65,720 = 65,720 : x
  2. Step 2: Convert to fraction form
    35,820/65,720 = 65,720/x
  3. Step 3: Cross multiply
    35,820x = 65,720 × 65,720
  4. Step 4: Simplify right side
    35,820x = 4,319,118,400
  5. Step 5: Solve for x
    x = 4,319,118,400/35,820
  6. Step 6: Final answer
    x = 120,578.40

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.