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Finding the Third Proportional to 5,028.75 and 7,954.03

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Solution

The third proportional to 5,028.75 and 7,954.03 is: 12,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.75 : 7,954.03 = 7,954.03 : x
  2. Step 2: Convert to fraction form
    5,028.75/7,954.03 = 7,954.03/x
  3. Step 3: Cross multiply
    5,028.75x = 7,954.03 × 7,954.03
  4. Step 4: Simplify right side
    5,028.75x = 63,266,613.13
  5. Step 5: Solve for x
    x = 63,266,613.13/5,028.75
  6. Step 6: Final answer
    x = 12,580.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.