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Finding the Third Proportional to 975.32 and 2,102.99

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Solution

The third proportional to 975.32 and 2,102.99 is: 4,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.32 : 2,102.99 = 2,102.99 : x
  2. Step 2: Convert to fraction form
    975.32/2,102.99 = 2,102.99/x
  3. Step 3: Cross multiply
    975.32x = 2,102.99 × 2,102.99
  4. Step 4: Simplify right side
    975.32x = 4,422,584.36
  5. Step 5: Solve for x
    x = 4,422,584.36/975.32
  6. Step 6: Final answer
    x = 4,534.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.