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Finding the Third Proportional to 8,970.75 and 10,347.75

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Solution

The third proportional to 8,970.75 and 10,347.75 is: 11,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.75 : 10,347.75 = 10,347.75 : x
  2. Step 2: Convert to fraction form
    8,970.75/10,347.75 = 10,347.75/x
  3. Step 3: Cross multiply
    8,970.75x = 10,347.75 × 10,347.75
  4. Step 4: Simplify right side
    8,970.75x = 107,075,930.06
  5. Step 5: Solve for x
    x = 107,075,930.06/8,970.75
  6. Step 6: Final answer
    x = 11,936.12

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.