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Finding the Third Proportional to 31,417.88 and 44,782.88

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Solution

The third proportional to 31,417.88 and 44,782.88 is: 63,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.88 : 44,782.88 = 44,782.88 : x
  2. Step 2: Convert to fraction form
    31,417.88/44,782.88 = 44,782.88/x
  3. Step 3: Cross multiply
    31,417.88x = 44,782.88 × 44,782.88
  4. Step 4: Simplify right side
    31,417.88x = 2,005,505,893.27
  5. Step 5: Solve for x
    x = 2,005,505,893.27/31,417.88
  6. Step 6: Final answer
    x = 63,833.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.