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Finding the Third Proportional to 19,973.25 and 31,775.63

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Solution

The third proportional to 19,973.25 and 31,775.63 is: 50,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973.25 : 31,775.63 = 31,775.63 : x
  2. Step 2: Convert to fraction form
    19,973.25/31,775.63 = 31,775.63/x
  3. Step 3: Cross multiply
    19,973.25x = 31,775.63 × 31,775.63
  4. Step 4: Simplify right side
    19,973.25x = 1,009,690,344.14
  5. Step 5: Solve for x
    x = 1,009,690,344.14/19,973.25
  6. Step 6: Final answer
    x = 50,552.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.