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Finding the Third Proportional to 25,746 and 34,437

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Solution

The third proportional to 25,746 and 34,437 is: 46,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,746 : 34,437 = 34,437 : x
  2. Step 2: Convert to fraction form
    25,746/34,437 = 34,437/x
  3. Step 3: Cross multiply
    25,746x = 34,437 × 34,437
  4. Step 4: Simplify right side
    25,746x = 1,185,906,969
  5. Step 5: Solve for x
    x = 1,185,906,969/25,746
  6. Step 6: Final answer
    x = 46,061.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.