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Finding the Third Proportional to 25,580 and 38,904

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Solution

The third proportional to 25,580 and 38,904 is: 59,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580 : 38,904 = 38,904 : x
  2. Step 2: Convert to fraction form
    25,580/38,904 = 38,904/x
  3. Step 3: Cross multiply
    25,580x = 38,904 × 38,904
  4. Step 4: Simplify right side
    25,580x = 1,513,521,216
  5. Step 5: Solve for x
    x = 1,513,521,216/25,580
  6. Step 6: Final answer
    x = 59,168.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.