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Finding the Third Proportional to 15,889 and 31,378.50

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Solution

The third proportional to 15,889 and 31,378.50 is: 61,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889 : 31,378.50 = 31,378.50 : x
  2. Step 2: Convert to fraction form
    15,889/31,378.50 = 31,378.50/x
  3. Step 3: Cross multiply
    15,889x = 31,378.50 × 31,378.50
  4. Step 4: Simplify right side
    15,889x = 984,610,262.25
  5. Step 5: Solve for x
    x = 984,610,262.25/15,889
  6. Step 6: Final answer
    x = 61,968.04

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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.