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Finding the Third Proportional to 15,833 and 25,071

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Solution

The third proportional to 15,833 and 25,071 is: 39,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833 : 25,071 = 25,071 : x
  2. Step 2: Convert to fraction form
    15,833/25,071 = 25,071/x
  3. Step 3: Cross multiply
    15,833x = 25,071 × 25,071
  4. Step 4: Simplify right side
    15,833x = 628,555,041
  5. Step 5: Solve for x
    x = 628,555,041/15,833
  6. Step 6: Final answer
    x = 39,699.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.