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Finding the Third Proportional to 29,586 and 64,095

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Solution

The third proportional to 29,586 and 64,095 is: 138,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586 : 64,095 = 64,095 : x
  2. Step 2: Convert to fraction form
    29,586/64,095 = 64,095/x
  3. Step 3: Cross multiply
    29,586x = 64,095 × 64,095
  4. Step 4: Simplify right side
    29,586x = 4,108,169,025
  5. Step 5: Solve for x
    x = 4,108,169,025/29,586
  6. Step 6: Final answer
    x = 138,855.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.