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Finding the Third Proportional to 19,402.03 and 31,715.30

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Solution

The third proportional to 19,402.03 and 31,715.30 is: 51,843.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.03 : 31,715.30 = 31,715.30 : x
  2. Step 2: Convert to fraction form
    19,402.03/31,715.30 = 31,715.30/x
  3. Step 3: Cross multiply
    19,402.03x = 31,715.30 × 31,715.30
  4. Step 4: Simplify right side
    19,402.03x = 1,005,860,055.87
  5. Step 5: Solve for x
    x = 1,005,860,055.87/19,402.03
  6. Step 6: Final answer
    x = 51,843.03

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.