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Finding the Third Proportional to 7,036.13 and 9,894.75

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Solution

The third proportional to 7,036.13 and 9,894.75 is: 13,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.13 : 9,894.75 = 9,894.75 : x
  2. Step 2: Convert to fraction form
    7,036.13/9,894.75 = 9,894.75/x
  3. Step 3: Cross multiply
    7,036.13x = 9,894.75 × 9,894.75
  4. Step 4: Simplify right side
    7,036.13x = 97,906,077.56
  5. Step 5: Solve for x
    x = 97,906,077.56/7,036.13
  6. Step 6: Final answer
    x = 13,914.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.