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Finding the Third Proportional to 25,981 and 56,335

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Solution

The third proportional to 25,981 and 56,335 is: 122,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,981 : 56,335 = 56,335 : x
  2. Step 2: Convert to fraction form
    25,981/56,335 = 56,335/x
  3. Step 3: Cross multiply
    25,981x = 56,335 × 56,335
  4. Step 4: Simplify right side
    25,981x = 3,173,632,225
  5. Step 5: Solve for x
    x = 3,173,632,225/25,981
  6. Step 6: Final answer
    x = 122,152.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.