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Finding the Third Proportional to 29,587 and 64,357

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Solution

The third proportional to 29,587 and 64,357 is: 139,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,587 : 64,357 = 64,357 : x
  2. Step 2: Convert to fraction form
    29,587/64,357 = 64,357/x
  3. Step 3: Cross multiply
    29,587x = 64,357 × 64,357
  4. Step 4: Simplify right side
    29,587x = 4,141,823,449
  5. Step 5: Solve for x
    x = 4,141,823,449/29,587
  6. Step 6: Final answer
    x = 139,987.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.