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Finding the Third Proportional to 30,003 and 65,655.75

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Solution

The third proportional to 30,003 and 65,655.75 is: 143,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,003 : 65,655.75 = 65,655.75 : x
  2. Step 2: Convert to fraction form
    30,003/65,655.75 = 65,655.75/x
  3. Step 3: Cross multiply
    30,003x = 65,655.75 × 65,655.75
  4. Step 4: Simplify right side
    30,003x = 4,310,677,508.06
  5. Step 5: Solve for x
    x = 4,310,677,508.06/30,003
  6. Step 6: Final answer
    x = 143,674.88

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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.