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Finding the Third Proportional to 30,533 and 66,970

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Solution

The third proportional to 30,533 and 66,970 is: 146,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533 : 66,970 = 66,970 : x
  2. Step 2: Convert to fraction form
    30,533/66,970 = 66,970/x
  3. Step 3: Cross multiply
    30,533x = 66,970 × 66,970
  4. Step 4: Simplify right side
    30,533x = 4,484,980,900
  5. Step 5: Solve for x
    x = 4,484,980,900/30,533
  6. Step 6: Final answer
    x = 146,889.62

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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.