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Finding the Third Proportional to 5,051.25 and 5,402.25

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Solution

The third proportional to 5,051.25 and 5,402.25 is: 5,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.25 : 5,402.25 = 5,402.25 : x
  2. Step 2: Convert to fraction form
    5,051.25/5,402.25 = 5,402.25/x
  3. Step 3: Cross multiply
    5,051.25x = 5,402.25 × 5,402.25
  4. Step 4: Simplify right side
    5,051.25x = 29,184,305.06
  5. Step 5: Solve for x
    x = 29,184,305.06/5,051.25
  6. Step 6: Final answer
    x = 5,777.64

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.