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Finding the Third Proportional to 970.31 and 2,072.25

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Solution

The third proportional to 970.31 and 2,072.25 is: 4,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.31 : 2,072.25 = 2,072.25 : x
  2. Step 2: Convert to fraction form
    970.31/2,072.25 = 2,072.25/x
  3. Step 3: Cross multiply
    970.31x = 2,072.25 × 2,072.25
  4. Step 4: Simplify right side
    970.31x = 4,294,220.06
  5. Step 5: Solve for x
    x = 4,294,220.06/970.31
  6. Step 6: Final answer
    x = 4,425.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.