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Finding the Third Proportional to 21,881.88 and 32,133.75

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Solution

The third proportional to 21,881.88 and 32,133.75 is: 47,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.88 : 32,133.75 = 32,133.75 : x
  2. Step 2: Convert to fraction form
    21,881.88/32,133.75 = 32,133.75/x
  3. Step 3: Cross multiply
    21,881.88x = 32,133.75 × 32,133.75
  4. Step 4: Simplify right side
    21,881.88x = 1,032,577,889.06
  5. Step 5: Solve for x
    x = 1,032,577,889.06/21,881.88
  6. Step 6: Final answer
    x = 47,188.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.