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Finding the Third Proportional to 30,674.25 and 65,719.13

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Solution

The third proportional to 30,674.25 and 65,719.13 is: 140,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.25 : 65,719.13 = 65,719.13 : x
  2. Step 2: Convert to fraction form
    30,674.25/65,719.13 = 65,719.13/x
  3. Step 3: Cross multiply
    30,674.25x = 65,719.13 × 65,719.13
  4. Step 4: Simplify right side
    30,674.25x = 4,319,003,390.77
  5. Step 5: Solve for x
    x = 4,319,003,390.77/30,674.25
  6. Step 6: Final answer
    x = 140,802.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.