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Finding the Third Proportional to 29,363 and 64,558

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Solution

The third proportional to 29,363 and 64,558 is: 141,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,363 : 64,558 = 64,558 : x
  2. Step 2: Convert to fraction form
    29,363/64,558 = 64,558/x
  3. Step 3: Cross multiply
    29,363x = 64,558 × 64,558
  4. Step 4: Simplify right side
    29,363x = 4,167,735,364
  5. Step 5: Solve for x
    x = 4,167,735,364/29,363
  6. Step 6: Final answer
    x = 141,938.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.