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Finding the Third Proportional to 25,564 and 39,674

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Solution

The third proportional to 25,564 and 39,674 is: 61,571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564 : 39,674 = 39,674 : x
  2. Step 2: Convert to fraction form
    25,564/39,674 = 39,674/x
  3. Step 3: Cross multiply
    25,564x = 39,674 × 39,674
  4. Step 4: Simplify right side
    25,564x = 1,574,026,276
  5. Step 5: Solve for x
    x = 1,574,026,276/25,564
  6. Step 6: Final answer
    x = 61,571.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.