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Finding the Third Proportional to 20,018.50 and 31,402.50

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Solution

The third proportional to 20,018.50 and 31,402.50 is: 49,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,018.50 : 31,402.50 = 31,402.50 : x
  2. Step 2: Convert to fraction form
    20,018.50/31,402.50 = 31,402.50/x
  3. Step 3: Cross multiply
    20,018.50x = 31,402.50 × 31,402.50
  4. Step 4: Simplify right side
    20,018.50x = 986,117,006.25
  5. Step 5: Solve for x
    x = 986,117,006.25/20,018.50
  6. Step 6: Final answer
    x = 49,260.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.