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Finding the Third Proportional to 973.10 and 1,427.21

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Solution

The third proportional to 973.10 and 1,427.21 is: 2,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.10 : 1,427.21 = 1,427.21 : x
  2. Step 2: Convert to fraction form
    973.10/1,427.21 = 1,427.21/x
  3. Step 3: Cross multiply
    973.10x = 1,427.21 × 1,427.21
  4. Step 4: Simplify right side
    973.10x = 2,036,927.58
  5. Step 5: Solve for x
    x = 2,036,927.58/973.10
  6. Step 6: Final answer
    x = 2,093.24

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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.