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Finding the Third Proportional to 25,838 and 38,585

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Solution

The third proportional to 25,838 and 38,585 is: 57,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838 : 38,585 = 38,585 : x
  2. Step 2: Convert to fraction form
    25,838/38,585 = 38,585/x
  3. Step 3: Cross multiply
    25,838x = 38,585 × 38,585
  4. Step 4: Simplify right side
    25,838x = 1,488,802,225
  5. Step 5: Solve for x
    x = 1,488,802,225/25,838
  6. Step 6: Final answer
    x = 57,620.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.