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Finding the Third Proportional to 4,533.75 and 7,854.75

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Solution

The third proportional to 4,533.75 and 7,854.75 is: 13,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.75 : 7,854.75 = 7,854.75 : x
  2. Step 2: Convert to fraction form
    4,533.75/7,854.75 = 7,854.75/x
  3. Step 3: Cross multiply
    4,533.75x = 7,854.75 × 7,854.75
  4. Step 4: Simplify right side
    4,533.75x = 61,697,097.56
  5. Step 5: Solve for x
    x = 61,697,097.56/4,533.75
  6. Step 6: Final answer
    x = 13,608.40

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.