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Finding the Third Proportional to 34,208 and 52,528

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Solution

The third proportional to 34,208 and 52,528 is: 80,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,208 : 52,528 = 52,528 : x
  2. Step 2: Convert to fraction form
    34,208/52,528 = 52,528/x
  3. Step 3: Cross multiply
    34,208x = 52,528 × 52,528
  4. Step 4: Simplify right side
    34,208x = 2,759,190,784
  5. Step 5: Solve for x
    x = 2,759,190,784/34,208
  6. Step 6: Final answer
    x = 80,659.23

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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.