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Finding the Third Proportional to 972.84 and 2,064.09

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Solution

The third proportional to 972.84 and 2,064.09 is: 4,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.84 : 2,064.09 = 2,064.09 : x
  2. Step 2: Convert to fraction form
    972.84/2,064.09 = 2,064.09/x
  3. Step 3: Cross multiply
    972.84x = 2,064.09 × 2,064.09
  4. Step 4: Simplify right side
    972.84x = 4,260,483.01
  5. Step 5: Solve for x
    x = 4,260,483.01/972.84
  6. Step 6: Final answer
    x = 4,379.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.