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Finding the Third Proportional to 32,294 and 69,536

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Solution

The third proportional to 32,294 and 69,536 is: 149,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294 : 69,536 = 69,536 : x
  2. Step 2: Convert to fraction form
    32,294/69,536 = 69,536/x
  3. Step 3: Cross multiply
    32,294x = 69,536 × 69,536
  4. Step 4: Simplify right side
    32,294x = 4,835,255,296
  5. Step 5: Solve for x
    x = 4,835,255,296/32,294
  6. Step 6: Final answer
    x = 149,726.12

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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.