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Finding the Third Proportional to 425.25 and 1,038.02

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Solution

The third proportional to 425.25 and 1,038.02 is: 2,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.25 : 1,038.02 = 1,038.02 : x
  2. Step 2: Convert to fraction form
    425.25/1,038.02 = 1,038.02/x
  3. Step 3: Cross multiply
    425.25x = 1,038.02 × 1,038.02
  4. Step 4: Simplify right side
    425.25x = 1,077,492.66
  5. Step 5: Solve for x
    x = 1,077,492.66/425.25
  6. Step 6: Final answer
    x = 2,533.79

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.