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Finding the Third Proportional to 30,346 and 66,523

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Solution

The third proportional to 30,346 and 66,523 is: 145,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,346 : 66,523 = 66,523 : x
  2. Step 2: Convert to fraction form
    30,346/66,523 = 66,523/x
  3. Step 3: Cross multiply
    30,346x = 66,523 × 66,523
  4. Step 4: Simplify right side
    30,346x = 4,425,309,529
  5. Step 5: Solve for x
    x = 4,425,309,529/30,346
  6. Step 6: Final answer
    x = 145,828.43

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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.