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Finding the Third Proportional to 15,901.50 and 31,402.50

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Solution

The third proportional to 15,901.50 and 31,402.50 is: 62,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.50 : 31,402.50 = 31,402.50 : x
  2. Step 2: Convert to fraction form
    15,901.50/31,402.50 = 31,402.50/x
  3. Step 3: Cross multiply
    15,901.50x = 31,402.50 × 31,402.50
  4. Step 4: Simplify right side
    15,901.50x = 986,117,006.25
  5. Step 5: Solve for x
    x = 986,117,006.25/15,901.50
  6. Step 6: Final answer
    x = 62,014.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.