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Finding the Third Proportional to 9,786 and 14,889.75

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Solution

The third proportional to 9,786 and 14,889.75 is: 22,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786 : 14,889.75 = 14,889.75 : x
  2. Step 2: Convert to fraction form
    9,786/14,889.75 = 14,889.75/x
  3. Step 3: Cross multiply
    9,786x = 14,889.75 × 14,889.75
  4. Step 4: Simplify right side
    9,786x = 221,704,655.06
  5. Step 5: Solve for x
    x = 221,704,655.06/9,786
  6. Step 6: Final answer
    x = 22,655.29

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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.