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Finding the Third Proportional to 1,457.25 and 3,356.63

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Solution

The third proportional to 1,457.25 and 3,356.63 is: 7,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.25 : 3,356.63 = 3,356.63 : x
  2. Step 2: Convert to fraction form
    1,457.25/3,356.63 = 3,356.63/x
  3. Step 3: Cross multiply
    1,457.25x = 3,356.63 × 3,356.63
  4. Step 4: Simplify right side
    1,457.25x = 11,266,931.39
  5. Step 5: Solve for x
    x = 11,266,931.39/1,457.25
  6. Step 6: Final answer
    x = 7,731.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.