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Finding the Third Proportional to 27,895 and 65,437

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Solution

The third proportional to 27,895 and 65,437 is: 153,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,895 : 65,437 = 65,437 : x
  2. Step 2: Convert to fraction form
    27,895/65,437 = 65,437/x
  3. Step 3: Cross multiply
    27,895x = 65,437 × 65,437
  4. Step 4: Simplify right side
    27,895x = 4,282,000,969
  5. Step 5: Solve for x
    x = 4,282,000,969/27,895
  6. Step 6: Final answer
    x = 153,504.25

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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.