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Finding the Third Proportional to 975.09 and 1,733.91

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Solution

The third proportional to 975.09 and 1,733.91 is: 3,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.09 : 1,733.91 = 1,733.91 : x
  2. Step 2: Convert to fraction form
    975.09/1,733.91 = 1,733.91/x
  3. Step 3: Cross multiply
    975.09x = 1,733.91 × 1,733.91
  4. Step 4: Simplify right side
    975.09x = 3,006,430.88
  5. Step 5: Solve for x
    x = 3,006,430.88/975.09
  6. Step 6: Final answer
    x = 3,083.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.