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Finding the Third Proportional to 27,995 and 42,437

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Solution

The third proportional to 27,995 and 42,437 is: 64,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,995 : 42,437 = 42,437 : x
  2. Step 2: Convert to fraction form
    27,995/42,437 = 42,437/x
  3. Step 3: Cross multiply
    27,995x = 42,437 × 42,437
  4. Step 4: Simplify right side
    27,995x = 1,800,898,969
  5. Step 5: Solve for x
    x = 1,800,898,969/27,995
  6. Step 6: Final answer
    x = 64,329.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.