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Finding the Third Proportional to 27,459 and 35,675.44

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Solution

The third proportional to 27,459 and 35,675.44 is: 46,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459 : 35,675.44 = 35,675.44 : x
  2. Step 2: Convert to fraction form
    27,459/35,675.44 = 35,675.44/x
  3. Step 3: Cross multiply
    27,459x = 35,675.44 × 35,675.44
  4. Step 4: Simplify right side
    27,459x = 1,272,736,840.82
  5. Step 5: Solve for x
    x = 1,272,736,840.82/27,459
  6. Step 6: Final answer
    x = 46,350.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.