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Finding the Third Proportional to 962.51 and 1,970.58

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Solution

The third proportional to 962.51 and 1,970.58 is: 4,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.51 : 1,970.58 = 1,970.58 : x
  2. Step 2: Convert to fraction form
    962.51/1,970.58 = 1,970.58/x
  3. Step 3: Cross multiply
    962.51x = 1,970.58 × 1,970.58
  4. Step 4: Simplify right side
    962.51x = 3,883,178.15
  5. Step 5: Solve for x
    x = 3,883,178.15/962.51
  6. Step 6: Final answer
    x = 4,034.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.