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Finding the Third Proportional to 29,393 and 44,354.50

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Solution

The third proportional to 29,393 and 44,354.50 is: 66,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,393 : 44,354.50 = 44,354.50 : x
  2. Step 2: Convert to fraction form
    29,393/44,354.50 = 44,354.50/x
  3. Step 3: Cross multiply
    29,393x = 44,354.50 × 44,354.50
  4. Step 4: Simplify right side
    29,393x = 1,967,321,670.25
  5. Step 5: Solve for x
    x = 1,967,321,670.25/29,393
  6. Step 6: Final answer
    x = 66,931.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.