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Finding the Third Proportional to 21,957.75 and 33,125.63

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Solution

The third proportional to 21,957.75 and 33,125.63 is: 49,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.75 : 33,125.63 = 33,125.63 : x
  2. Step 2: Convert to fraction form
    21,957.75/33,125.63 = 33,125.63/x
  3. Step 3: Cross multiply
    21,957.75x = 33,125.63 × 33,125.63
  4. Step 4: Simplify right side
    21,957.75x = 1,097,307,031.64
  5. Step 5: Solve for x
    x = 1,097,307,031.64/21,957.75
  6. Step 6: Final answer
    x = 49,973.56

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