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Finding the Third Proportional to 48,064 and 71,588

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Solution

The third proportional to 48,064 and 71,588 is: 106,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,064 : 71,588 = 71,588 : x
  2. Step 2: Convert to fraction form
    48,064/71,588 = 71,588/x
  3. Step 3: Cross multiply
    48,064x = 71,588 × 71,588
  4. Step 4: Simplify right side
    48,064x = 5,124,841,744
  5. Step 5: Solve for x
    x = 5,124,841,744/48,064
  6. Step 6: Final answer
    x = 106,625.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.