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Finding the Third Proportional to 42,984 and 65,752

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Solution

The third proportional to 42,984 and 65,752 is: 100,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,984 : 65,752 = 65,752 : x
  2. Step 2: Convert to fraction form
    42,984/65,752 = 65,752/x
  3. Step 3: Cross multiply
    42,984x = 65,752 × 65,752
  4. Step 4: Simplify right side
    42,984x = 4,323,325,504
  5. Step 5: Solve for x
    x = 4,323,325,504/42,984
  6. Step 6: Final answer
    x = 100,579.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.