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Finding the Third Proportional to 31,893.75 and 45,653.63

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Solution

The third proportional to 31,893.75 and 45,653.63 is: 65,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.75 : 45,653.63 = 45,653.63 : x
  2. Step 2: Convert to fraction form
    31,893.75/45,653.63 = 45,653.63/x
  3. Step 3: Cross multiply
    31,893.75x = 45,653.63 × 45,653.63
  4. Step 4: Simplify right side
    31,893.75x = 2,084,253,475.64
  5. Step 5: Solve for x
    x = 2,084,253,475.64/31,893.75
  6. Step 6: Final answer
    x = 65,349.90

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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.