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Finding the Third Proportional to 27,685 and 64,995

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Solution

The third proportional to 27,685 and 64,995 is: 152,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685 : 64,995 = 64,995 : x
  2. Step 2: Convert to fraction form
    27,685/64,995 = 64,995/x
  3. Step 3: Cross multiply
    27,685x = 64,995 × 64,995
  4. Step 4: Simplify right side
    27,685x = 4,224,350,025
  5. Step 5: Solve for x
    x = 4,224,350,025/27,685
  6. Step 6: Final answer
    x = 152,586.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.