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Finding the Third Proportional to 31,710 and 44,335

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Solution

The third proportional to 31,710 and 44,335 is: 61,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710 : 44,335 = 44,335 : x
  2. Step 2: Convert to fraction form
    31,710/44,335 = 44,335/x
  3. Step 3: Cross multiply
    31,710x = 44,335 × 44,335
  4. Step 4: Simplify right side
    31,710x = 1,965,592,225
  5. Step 5: Solve for x
    x = 1,965,592,225/31,710
  6. Step 6: Final answer
    x = 61,986.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.