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Finding the Third Proportional to 482.25 and 1,051.63

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Solution

The third proportional to 482.25 and 1,051.63 is: 2,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 1,051.63 = 1,051.63 : x
  2. Step 2: Convert to fraction form
    482.25/1,051.63 = 1,051.63/x
  3. Step 3: Cross multiply
    482.25x = 1,051.63 × 1,051.63
  4. Step 4: Simplify right side
    482.25x = 1,105,915.14
  5. Step 5: Solve for x
    x = 1,105,915.14/482.25
  6. Step 6: Final answer
    x = 2,293.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.