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Finding the Third Proportional to 25,572 and 39,600

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Solution

The third proportional to 25,572 and 39,600 is: 61,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572 : 39,600 = 39,600 : x
  2. Step 2: Convert to fraction form
    25,572/39,600 = 39,600/x
  3. Step 3: Cross multiply
    25,572x = 39,600 × 39,600
  4. Step 4: Simplify right side
    25,572x = 1,568,160,000
  5. Step 5: Solve for x
    x = 1,568,160,000/25,572
  6. Step 6: Final answer
    x = 61,323.32

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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.