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Finding the Third Proportional to 29,600 and 64,654

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Solution

The third proportional to 29,600 and 64,654 is: 141,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,600 : 64,654 = 64,654 : x
  2. Step 2: Convert to fraction form
    29,600/64,654 = 64,654/x
  3. Step 3: Cross multiply
    29,600x = 64,654 × 64,654
  4. Step 4: Simplify right side
    29,600x = 4,180,139,716
  5. Step 5: Solve for x
    x = 4,180,139,716/29,600
  6. Step 6: Final answer
    x = 141,220.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.