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Finding the Third Proportional to 975.09 and 2,123.72

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Solution

The third proportional to 975.09 and 2,123.72 is: 4,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.09 : 2,123.72 = 2,123.72 : x
  2. Step 2: Convert to fraction form
    975.09/2,123.72 = 2,123.72/x
  3. Step 3: Cross multiply
    975.09x = 2,123.72 × 2,123.72
  4. Step 4: Simplify right side
    975.09x = 4,510,181.33
  5. Step 5: Solve for x
    x = 4,510,181.33/975.09
  6. Step 6: Final answer
    x = 4,625.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.