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Finding the Third Proportional to 12,506.91 and 23,441.91

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Solution

The third proportional to 12,506.91 and 23,441.91 is: 43,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.91 : 23,441.91 = 23,441.91 : x
  2. Step 2: Convert to fraction form
    12,506.91/23,441.91 = 23,441.91/x
  3. Step 3: Cross multiply
    12,506.91x = 23,441.91 × 23,441.91
  4. Step 4: Simplify right side
    12,506.91x = 549,522,968.63
  5. Step 5: Solve for x
    x = 549,522,968.63/12,506.91
  6. Step 6: Final answer
    x = 43,937.56

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.