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Finding the Third Proportional to 31,765 and 49,461

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Solution

The third proportional to 31,765 and 49,461 is: 77,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765 : 49,461 = 49,461 : x
  2. Step 2: Convert to fraction form
    31,765/49,461 = 49,461/x
  3. Step 3: Cross multiply
    31,765x = 49,461 × 49,461
  4. Step 4: Simplify right side
    31,765x = 2,446,390,521
  5. Step 5: Solve for x
    x = 2,446,390,521/31,765
  6. Step 6: Final answer
    x = 77,015.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.