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Finding the Third Proportional to 970.31 and 2,094.19

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Solution

The third proportional to 970.31 and 2,094.19 is: 4,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.31 : 2,094.19 = 2,094.19 : x
  2. Step 2: Convert to fraction form
    970.31/2,094.19 = 2,094.19/x
  3. Step 3: Cross multiply
    970.31x = 2,094.19 × 2,094.19
  4. Step 4: Simplify right side
    970.31x = 4,385,621.29
  5. Step 5: Solve for x
    x = 4,385,621.29/970.31
  6. Step 6: Final answer
    x = 4,519.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.