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Finding the Third Proportional to 25,983 and 39,209

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Solution

The third proportional to 25,983 and 39,209 is: 59,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983 : 39,209 = 39,209 : x
  2. Step 2: Convert to fraction form
    25,983/39,209 = 39,209/x
  3. Step 3: Cross multiply
    25,983x = 39,209 × 39,209
  4. Step 4: Simplify right side
    25,983x = 1,537,345,681
  5. Step 5: Solve for x
    x = 1,537,345,681/25,983
  6. Step 6: Final answer
    x = 59,167.37

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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.