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Finding the Third Proportional to 9,986.63 and 15,162.19

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Solution

The third proportional to 9,986.63 and 15,162.19 is: 23,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.63 : 15,162.19 = 15,162.19 : x
  2. Step 2: Convert to fraction form
    9,986.63/15,162.19 = 15,162.19/x
  3. Step 3: Cross multiply
    9,986.63x = 15,162.19 × 15,162.19
  4. Step 4: Simplify right side
    9,986.63x = 229,891,929.79
  5. Step 5: Solve for x
    x = 229,891,929.79/9,986.63
  6. Step 6: Final answer
    x = 23,019.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.