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Finding the Third Proportional to 25,870.75 and 39,951.75

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Solution

The third proportional to 25,870.75 and 39,951.75 is: 61,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.75 : 39,951.75 = 39,951.75 : x
  2. Step 2: Convert to fraction form
    25,870.75/39,951.75 = 39,951.75/x
  3. Step 3: Cross multiply
    25,870.75x = 39,951.75 × 39,951.75
  4. Step 4: Simplify right side
    25,870.75x = 1,596,142,328.06
  5. Step 5: Solve for x
    x = 1,596,142,328.06/25,870.75
  6. Step 6: Final answer
    x = 61,696.79

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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.