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Finding the Third Proportional to 30,702 and 48,960

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Solution

The third proportional to 30,702 and 48,960 is: 78,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702 : 48,960 = 48,960 : x
  2. Step 2: Convert to fraction form
    30,702/48,960 = 48,960/x
  3. Step 3: Cross multiply
    30,702x = 48,960 × 48,960
  4. Step 4: Simplify right side
    30,702x = 2,397,081,600
  5. Step 5: Solve for x
    x = 2,397,081,600/30,702
  6. Step 6: Final answer
    x = 78,075.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.