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Finding the Third Proportional to 30,110 and 65,960

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Solution

The third proportional to 30,110 and 65,960 is: 144,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,110 : 65,960 = 65,960 : x
  2. Step 2: Convert to fraction form
    30,110/65,960 = 65,960/x
  3. Step 3: Cross multiply
    30,110x = 65,960 × 65,960
  4. Step 4: Simplify right side
    30,110x = 4,350,721,600
  5. Step 5: Solve for x
    x = 4,350,721,600/30,110
  6. Step 6: Final answer
    x = 144,494.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.