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Finding the Third Proportional to 9,208.69 and 13,483.13

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Solution

The third proportional to 9,208.69 and 13,483.13 is: 19,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.69 : 13,483.13 = 13,483.13 : x
  2. Step 2: Convert to fraction form
    9,208.69/13,483.13 = 13,483.13/x
  3. Step 3: Cross multiply
    9,208.69x = 13,483.13 × 13,483.13
  4. Step 4: Simplify right side
    9,208.69x = 181,794,659.77
  5. Step 5: Solve for x
    x = 181,794,659.77/9,208.69
  6. Step 6: Final answer
    x = 19,741.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.