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Finding the Third Proportional to 10,159 and 13,483.75

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Solution

The third proportional to 10,159 and 13,483.75 is: 17,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159 : 13,483.75 = 13,483.75 : x
  2. Step 2: Convert to fraction form
    10,159/13,483.75 = 13,483.75/x
  3. Step 3: Cross multiply
    10,159x = 13,483.75 × 13,483.75
  4. Step 4: Simplify right side
    10,159x = 181,811,514.06
  5. Step 5: Solve for x
    x = 181,811,514.06/10,159
  6. Step 6: Final answer
    x = 17,896.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.