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Finding the Third Proportional to 1,965.59 and 3,156.25

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Solution

The third proportional to 1,965.59 and 3,156.25 is: 5,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.59 : 3,156.25 = 3,156.25 : x
  2. Step 2: Convert to fraction form
    1,965.59/3,156.25 = 3,156.25/x
  3. Step 3: Cross multiply
    1,965.59x = 3,156.25 × 3,156.25
  4. Step 4: Simplify right side
    1,965.59x = 9,961,914.06
  5. Step 5: Solve for x
    x = 9,961,914.06/1,965.59
  6. Step 6: Final answer
    x = 5,068.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.