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Finding the Third Proportional to 857.25 and 1,346.06

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Solution

The third proportional to 857.25 and 1,346.06 is: 2,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,346.06 = 1,346.06 : x
  2. Step 2: Convert to fraction form
    857.25/1,346.06 = 1,346.06/x
  3. Step 3: Cross multiply
    857.25x = 1,346.06 × 1,346.06
  4. Step 4: Simplify right side
    857.25x = 1,811,884.25
  5. Step 5: Solve for x
    x = 1,811,884.25/857.25
  6. Step 6: Final answer
    x = 2,113.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.