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Finding the Third Proportional to 30,772 and 66,258

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Solution

The third proportional to 30,772 and 66,258 is: 142,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772 : 66,258 = 66,258 : x
  2. Step 2: Convert to fraction form
    30,772/66,258 = 66,258/x
  3. Step 3: Cross multiply
    30,772x = 66,258 × 66,258
  4. Step 4: Simplify right side
    30,772x = 4,390,122,564
  5. Step 5: Solve for x
    x = 4,390,122,564/30,772
  6. Step 6: Final answer
    x = 142,666.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.