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Finding the Third Proportional to 5,483.95 and 8,275.29

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Solution

The third proportional to 5,483.95 and 8,275.29 is: 12,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.95 : 8,275.29 = 8,275.29 : x
  2. Step 2: Convert to fraction form
    5,483.95/8,275.29 = 8,275.29/x
  3. Step 3: Cross multiply
    5,483.95x = 8,275.29 × 8,275.29
  4. Step 4: Simplify right side
    5,483.95x = 68,480,409.07
  5. Step 5: Solve for x
    x = 68,480,409.07/5,483.95
  6. Step 6: Final answer
    x = 12,487.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.