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Finding the Third Proportional to 30,696 and 66,222

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Solution

The third proportional to 30,696 and 66,222 is: 142,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696 : 66,222 = 66,222 : x
  2. Step 2: Convert to fraction form
    30,696/66,222 = 66,222/x
  3. Step 3: Cross multiply
    30,696x = 66,222 × 66,222
  4. Step 4: Simplify right side
    30,696x = 4,385,353,284
  5. Step 5: Solve for x
    x = 4,385,353,284/30,696
  6. Step 6: Final answer
    x = 142,864.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.