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Finding the Third Proportional to 25,898 and 39,210

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Solution

The third proportional to 25,898 and 39,210 is: 59,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898 : 39,210 = 39,210 : x
  2. Step 2: Convert to fraction form
    25,898/39,210 = 39,210/x
  3. Step 3: Cross multiply
    25,898x = 39,210 × 39,210
  4. Step 4: Simplify right side
    25,898x = 1,537,424,100
  5. Step 5: Solve for x
    x = 1,537,424,100/25,898
  6. Step 6: Final answer
    x = 59,364.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.