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Finding the Third Proportional to 973.27 and 2,089.55

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Solution

The third proportional to 973.27 and 2,089.55 is: 4,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.27 : 2,089.55 = 2,089.55 : x
  2. Step 2: Convert to fraction form
    973.27/2,089.55 = 2,089.55/x
  3. Step 3: Cross multiply
    973.27x = 2,089.55 × 2,089.55
  4. Step 4: Simplify right side
    973.27x = 4,366,206.14
  5. Step 5: Solve for x
    x = 4,366,206.14/973.27
  6. Step 6: Final answer
    x = 4,486.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.