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Finding the Third Proportional to 25,897.50 and 39,991

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Solution

The third proportional to 25,897.50 and 39,991 is: 61,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.50 : 39,991 = 39,991 : x
  2. Step 2: Convert to fraction form
    25,897.50/39,991 = 39,991/x
  3. Step 3: Cross multiply
    25,897.50x = 39,991 × 39,991
  4. Step 4: Simplify right side
    25,897.50x = 1,599,280,081
  5. Step 5: Solve for x
    x = 1,599,280,081/25,897.50
  6. Step 6: Final answer
    x = 61,754.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.