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Finding the Third Proportional to 5,075.16 and 7,998.75

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Solution

The third proportional to 5,075.16 and 7,998.75 is: 12,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.16 : 7,998.75 = 7,998.75 : x
  2. Step 2: Convert to fraction form
    5,075.16/7,998.75 = 7,998.75/x
  3. Step 3: Cross multiply
    5,075.16x = 7,998.75 × 7,998.75
  4. Step 4: Simplify right side
    5,075.16x = 63,980,001.56
  5. Step 5: Solve for x
    x = 63,980,001.56/5,075.16
  6. Step 6: Final answer
    x = 12,606.51

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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.