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Finding the Third Proportional to 30,901 and 66,461

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Solution

The third proportional to 30,901 and 66,461 is: 142,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901 : 66,461 = 66,461 : x
  2. Step 2: Convert to fraction form
    30,901/66,461 = 66,461/x
  3. Step 3: Cross multiply
    30,901x = 66,461 × 66,461
  4. Step 4: Simplify right side
    30,901x = 4,417,064,521
  5. Step 5: Solve for x
    x = 4,417,064,521/30,901
  6. Step 6: Final answer
    x = 142,942.45

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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.