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Finding the Third Proportional to 35,029 and 52,417

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Solution

The third proportional to 35,029 and 52,417 is: 78,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,029 : 52,417 = 52,417 : x
  2. Step 2: Convert to fraction form
    35,029/52,417 = 52,417/x
  3. Step 3: Cross multiply
    35,029x = 52,417 × 52,417
  4. Step 4: Simplify right side
    35,029x = 2,747,541,889
  5. Step 5: Solve for x
    x = 2,747,541,889/35,029
  6. Step 6: Final answer
    x = 78,436.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.