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Finding the Third Proportional to 21,319.88 and 32,631.75

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Solution

The third proportional to 21,319.88 and 32,631.75 is: 49,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,319.88 : 32,631.75 = 32,631.75 : x
  2. Step 2: Convert to fraction form
    21,319.88/32,631.75 = 32,631.75/x
  3. Step 3: Cross multiply
    21,319.88x = 32,631.75 × 32,631.75
  4. Step 4: Simplify right side
    21,319.88x = 1,064,831,108.06
  5. Step 5: Solve for x
    x = 1,064,831,108.06/21,319.88
  6. Step 6: Final answer
    x = 49,945.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.