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Finding the Third Proportional to 14,335 and 31,438

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Solution

The third proportional to 14,335 and 31,438 is: 68,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335 : 31,438 = 31,438 : x
  2. Step 2: Convert to fraction form
    14,335/31,438 = 31,438/x
  3. Step 3: Cross multiply
    14,335x = 31,438 × 31,438
  4. Step 4: Simplify right side
    14,335x = 988,347,844
  5. Step 5: Solve for x
    x = 988,347,844/14,335
  6. Step 6: Final answer
    x = 68,946.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.