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Finding the Third Proportional to 10,430.44 and 13,215.66

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Solution

The third proportional to 10,430.44 and 13,215.66 is: 16,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.44 : 13,215.66 = 13,215.66 : x
  2. Step 2: Convert to fraction form
    10,430.44/13,215.66 = 13,215.66/x
  3. Step 3: Cross multiply
    10,430.44x = 13,215.66 × 13,215.66
  4. Step 4: Simplify right side
    10,430.44x = 174,653,570.12
  5. Step 5: Solve for x
    x = 174,653,570.12/10,430.44
  6. Step 6: Final answer
    x = 16,744.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.