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Finding the Third Proportional to 973.27 and 1,431.42

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Solution

The third proportional to 973.27 and 1,431.42 is: 2,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.27 : 1,431.42 = 1,431.42 : x
  2. Step 2: Convert to fraction form
    973.27/1,431.42 = 1,431.42/x
  3. Step 3: Cross multiply
    973.27x = 1,431.42 × 1,431.42
  4. Step 4: Simplify right side
    973.27x = 2,048,968.58
  5. Step 5: Solve for x
    x = 2,048,968.58/973.27
  6. Step 6: Final answer
    x = 2,105.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.