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Finding the Third Proportional to 15,148 and 25,159

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Solution

The third proportional to 15,148 and 25,159 is: 41,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148 : 25,159 = 25,159 : x
  2. Step 2: Convert to fraction form
    15,148/25,159 = 25,159/x
  3. Step 3: Cross multiply
    15,148x = 25,159 × 25,159
  4. Step 4: Simplify right side
    15,148x = 632,975,281
  5. Step 5: Solve for x
    x = 632,975,281/15,148
  6. Step 6: Final answer
    x = 41,786.06

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.