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Finding the Third Proportional to 25,596 and 39,726

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Solution

The third proportional to 25,596 and 39,726 is: 61,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596 : 39,726 = 39,726 : x
  2. Step 2: Convert to fraction form
    25,596/39,726 = 39,726/x
  3. Step 3: Cross multiply
    25,596x = 39,726 × 39,726
  4. Step 4: Simplify right side
    25,596x = 1,578,155,076
  5. Step 5: Solve for x
    x = 1,578,155,076/25,596
  6. Step 6: Final answer
    x = 61,656.32

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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.