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Finding the Third Proportional to 29,580 and 44,264

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Solution

The third proportional to 29,580 and 44,264 is: 66,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,580 : 44,264 = 44,264 : x
  2. Step 2: Convert to fraction form
    29,580/44,264 = 44,264/x
  3. Step 3: Cross multiply
    29,580x = 44,264 × 44,264
  4. Step 4: Simplify right side
    29,580x = 1,959,301,696
  5. Step 5: Solve for x
    x = 1,959,301,696/29,580
  6. Step 6: Final answer
    x = 66,237.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.