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Finding the Third Proportional to 24,475 and 35,335

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Solution

The third proportional to 24,475 and 35,335 is: 51,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475 : 35,335 = 35,335 : x
  2. Step 2: Convert to fraction form
    24,475/35,335 = 35,335/x
  3. Step 3: Cross multiply
    24,475x = 35,335 × 35,335
  4. Step 4: Simplify right side
    24,475x = 1,248,562,225
  5. Step 5: Solve for x
    x = 1,248,562,225/24,475
  6. Step 6: Final answer
    x = 51,013.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.