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Finding the Third Proportional to 1,770.75 and 2,475.84

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Solution

The third proportional to 1,770.75 and 2,475.84 is: 3,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.75 : 2,475.84 = 2,475.84 : x
  2. Step 2: Convert to fraction form
    1,770.75/2,475.84 = 2,475.84/x
  3. Step 3: Cross multiply
    1,770.75x = 2,475.84 × 2,475.84
  4. Step 4: Simplify right side
    1,770.75x = 6,129,802.27
  5. Step 5: Solve for x
    x = 6,129,802.27/1,770.75
  6. Step 6: Final answer
    x = 3,461.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.