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Finding the Third Proportional to 975.94 and 1,566.84

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Solution

The third proportional to 975.94 and 1,566.84 is: 2,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.94 : 1,566.84 = 1,566.84 : x
  2. Step 2: Convert to fraction form
    975.94/1,566.84 = 1,566.84/x
  3. Step 3: Cross multiply
    975.94x = 1,566.84 × 1,566.84
  4. Step 4: Simplify right side
    975.94x = 2,454,999.34
  5. Step 5: Solve for x
    x = 2,454,999.34/975.94
  6. Step 6: Final answer
    x = 2,515.53

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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.