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Finding the Third Proportional to 30,023 and 65,014

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Solution

The third proportional to 30,023 and 65,014 is: 140,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,023 : 65,014 = 65,014 : x
  2. Step 2: Convert to fraction form
    30,023/65,014 = 65,014/x
  3. Step 3: Cross multiply
    30,023x = 65,014 × 65,014
  4. Step 4: Simplify right side
    30,023x = 4,226,820,196
  5. Step 5: Solve for x
    x = 4,226,820,196/30,023
  6. Step 6: Final answer
    x = 140,786.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.