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Finding the Third Proportional to 857.95 and 1,346.91

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Solution

The third proportional to 857.95 and 1,346.91 is: 2,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.95 : 1,346.91 = 1,346.91 : x
  2. Step 2: Convert to fraction form
    857.95/1,346.91 = 1,346.91/x
  3. Step 3: Cross multiply
    857.95x = 1,346.91 × 1,346.91
  4. Step 4: Simplify right side
    857.95x = 1,814,156.45
  5. Step 5: Solve for x
    x = 1,814,156.45/857.95
  6. Step 6: Final answer
    x = 2,114.52

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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.