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Finding the Third Proportional to 8,903.75 and 13,786

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Solution

The third proportional to 8,903.75 and 13,786 is: 21,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.75 : 13,786 = 13,786 : x
  2. Step 2: Convert to fraction form
    8,903.75/13,786 = 13,786/x
  3. Step 3: Cross multiply
    8,903.75x = 13,786 × 13,786
  4. Step 4: Simplify right side
    8,903.75x = 190,053,796
  5. Step 5: Solve for x
    x = 190,053,796/8,903.75
  6. Step 6: Final answer
    x = 21,345.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.