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Finding the Third Proportional to 31,263 and 64,607

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Solution

The third proportional to 31,263 and 64,607 is: 133,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,263 : 64,607 = 64,607 : x
  2. Step 2: Convert to fraction form
    31,263/64,607 = 64,607/x
  3. Step 3: Cross multiply
    31,263x = 64,607 × 64,607
  4. Step 4: Simplify right side
    31,263x = 4,174,064,449
  5. Step 5: Solve for x
    x = 4,174,064,449/31,263
  6. Step 6: Final answer
    x = 133,514.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.