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Finding the Third Proportional to 15,506.44 and 23,720.34

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Solution

The third proportional to 15,506.44 and 23,720.34 is: 36,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.44 : 23,720.34 = 23,720.34 : x
  2. Step 2: Convert to fraction form
    15,506.44/23,720.34 = 23,720.34/x
  3. Step 3: Cross multiply
    15,506.44x = 23,720.34 × 23,720.34
  4. Step 4: Simplify right side
    15,506.44x = 562,654,707.62
  5. Step 5: Solve for x
    x = 562,654,707.62/15,506.44
  6. Step 6: Final answer
    x = 36,285.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.