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Finding the Third Proportional to 970.69 and 2,096.63

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Solution

The third proportional to 970.69 and 2,096.63 is: 4,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.69 : 2,096.63 = 2,096.63 : x
  2. Step 2: Convert to fraction form
    970.69/2,096.63 = 2,096.63/x
  3. Step 3: Cross multiply
    970.69x = 2,096.63 × 2,096.63
  4. Step 4: Simplify right side
    970.69x = 4,395,836.39
  5. Step 5: Solve for x
    x = 4,395,836.39/970.69
  6. Step 6: Final answer
    x = 4,528.58

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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.