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Finding the Third Proportional to 29,718 and 44,085.50

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Solution

The third proportional to 29,718 and 44,085.50 is: 65,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,718 : 44,085.50 = 44,085.50 : x
  2. Step 2: Convert to fraction form
    29,718/44,085.50 = 44,085.50/x
  3. Step 3: Cross multiply
    29,718x = 44,085.50 × 44,085.50
  4. Step 4: Simplify right side
    29,718x = 1,943,531,310.25
  5. Step 5: Solve for x
    x = 1,943,531,310.25/29,718
  6. Step 6: Final answer
    x = 65,399.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.