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Finding the Third Proportional to 15,405 and 22,030

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Solution

The third proportional to 15,405 and 22,030 is: 31,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405 : 22,030 = 22,030 : x
  2. Step 2: Convert to fraction form
    15,405/22,030 = 22,030/x
  3. Step 3: Cross multiply
    15,405x = 22,030 × 22,030
  4. Step 4: Simplify right side
    15,405x = 485,320,900
  5. Step 5: Solve for x
    x = 485,320,900/15,405
  6. Step 6: Final answer
    x = 31,504.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.