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Finding the Third Proportional to 30,213.14 and 65,802.66

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Solution

The third proportional to 30,213.14 and 65,802.66 is: 143,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.14 : 65,802.66 = 65,802.66 : x
  2. Step 2: Convert to fraction form
    30,213.14/65,802.66 = 65,802.66/x
  3. Step 3: Cross multiply
    30,213.14x = 65,802.66 × 65,802.66
  4. Step 4: Simplify right side
    30,213.14x = 4,329,989,569.56
  5. Step 5: Solve for x
    x = 4,329,989,569.56/30,213.14
  6. Step 6: Final answer
    x = 143,314.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.