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Finding the Third Proportional to 9,259 and 14,786

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Solution

The third proportional to 9,259 and 14,786 is: 23,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259 : 14,786 = 14,786 : x
  2. Step 2: Convert to fraction form
    9,259/14,786 = 14,786/x
  3. Step 3: Cross multiply
    9,259x = 14,786 × 14,786
  4. Step 4: Simplify right side
    9,259x = 218,625,796
  5. Step 5: Solve for x
    x = 218,625,796/9,259
  6. Step 6: Final answer
    x = 23,612.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.