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Finding the Third Proportional to 30,407 and 66,808

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Solution

The third proportional to 30,407 and 66,808 is: 146,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407 : 66,808 = 66,808 : x
  2. Step 2: Convert to fraction form
    30,407/66,808 = 66,808/x
  3. Step 3: Cross multiply
    30,407x = 66,808 × 66,808
  4. Step 4: Simplify right side
    30,407x = 4,463,308,864
  5. Step 5: Solve for x
    x = 4,463,308,864/30,407
  6. Step 6: Final answer
    x = 146,785.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.