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Finding the Third Proportional to 23,335 and 31,438

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Solution

The third proportional to 23,335 and 31,438 is: 42,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,335 : 31,438 = 31,438 : x
  2. Step 2: Convert to fraction form
    23,335/31,438 = 31,438/x
  3. Step 3: Cross multiply
    23,335x = 31,438 × 31,438
  4. Step 4: Simplify right side
    23,335x = 988,347,844
  5. Step 5: Solve for x
    x = 988,347,844/23,335
  6. Step 6: Final answer
    x = 42,354.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.