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Finding the Third Proportional to 34,122 and 52,641

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Solution

The third proportional to 34,122 and 52,641 is: 81,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122 : 52,641 = 52,641 : x
  2. Step 2: Convert to fraction form
    34,122/52,641 = 52,641/x
  3. Step 3: Cross multiply
    34,122x = 52,641 × 52,641
  4. Step 4: Simplify right side
    34,122x = 2,771,074,881
  5. Step 5: Solve for x
    x = 2,771,074,881/34,122
  6. Step 6: Final answer
    x = 81,210.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.