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Finding the Third Proportional to 6,564.75 and 10,089.75

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Solution

The third proportional to 6,564.75 and 10,089.75 is: 15,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.75 : 10,089.75 = 10,089.75 : x
  2. Step 2: Convert to fraction form
    6,564.75/10,089.75 = 10,089.75/x
  3. Step 3: Cross multiply
    6,564.75x = 10,089.75 × 10,089.75
  4. Step 4: Simplify right side
    6,564.75x = 101,803,055.06
  5. Step 5: Solve for x
    x = 101,803,055.06/6,564.75
  6. Step 6: Final answer
    x = 15,507.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.