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Finding the Third Proportional to 15,430 and 33,259

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Solution

The third proportional to 15,430 and 33,259 is: 71,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430 : 33,259 = 33,259 : x
  2. Step 2: Convert to fraction form
    15,430/33,259 = 33,259/x
  3. Step 3: Cross multiply
    15,430x = 33,259 × 33,259
  4. Step 4: Simplify right side
    15,430x = 1,106,161,081
  5. Step 5: Solve for x
    x = 1,106,161,081/15,430
  6. Step 6: Final answer
    x = 71,688.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.