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Finding the Third Proportional to 4,284 and 6,412.50

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Solution

The third proportional to 4,284 and 6,412.50 is: 9,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284 : 6,412.50 = 6,412.50 : x
  2. Step 2: Convert to fraction form
    4,284/6,412.50 = 6,412.50/x
  3. Step 3: Cross multiply
    4,284x = 6,412.50 × 6,412.50
  4. Step 4: Simplify right side
    4,284x = 41,120,156.25
  5. Step 5: Solve for x
    x = 41,120,156.25/4,284
  6. Step 6: Final answer
    x = 9,598.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.