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Finding the Third Proportional to 1,256.25 and 2,970.38

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Solution

The third proportional to 1,256.25 and 2,970.38 is: 7,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.25 : 2,970.38 = 2,970.38 : x
  2. Step 2: Convert to fraction form
    1,256.25/2,970.38 = 2,970.38/x
  3. Step 3: Cross multiply
    1,256.25x = 2,970.38 × 2,970.38
  4. Step 4: Simplify right side
    1,256.25x = 8,823,127.64
  5. Step 5: Solve for x
    x = 8,823,127.64/1,256.25
  6. Step 6: Final answer
    x = 7,023.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.