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Finding the Third Proportional to 5,528.25 and 7,894.13

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Solution

The third proportional to 5,528.25 and 7,894.13 is: 11,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,528.25 : 7,894.13 = 7,894.13 : x
  2. Step 2: Convert to fraction form
    5,528.25/7,894.13 = 7,894.13/x
  3. Step 3: Cross multiply
    5,528.25x = 7,894.13 × 7,894.13
  4. Step 4: Simplify right side
    5,528.25x = 62,317,209.52
  5. Step 5: Solve for x
    x = 62,317,209.52/5,528.25
  6. Step 6: Final answer
    x = 11,272.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.