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Finding the Third Proportional to 15,594 and 25,173

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Solution

The third proportional to 15,594 and 25,173 is: 40,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,594 : 25,173 = 25,173 : x
  2. Step 2: Convert to fraction form
    15,594/25,173 = 25,173/x
  3. Step 3: Cross multiply
    15,594x = 25,173 × 25,173
  4. Step 4: Simplify right side
    15,594x = 633,679,929
  5. Step 5: Solve for x
    x = 633,679,929/15,594
  6. Step 6: Final answer
    x = 40,636.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.