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Finding the Third Proportional to 23,670.56 and 51,031.69

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Solution

The third proportional to 23,670.56 and 51,031.69 is: 110,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670.56 : 51,031.69 = 51,031.69 : x
  2. Step 2: Convert to fraction form
    23,670.56/51,031.69 = 51,031.69/x
  3. Step 3: Cross multiply
    23,670.56x = 51,031.69 × 51,031.69
  4. Step 4: Simplify right side
    23,670.56x = 2,604,233,129.10
  5. Step 5: Solve for x
    x = 2,604,233,129.10/23,670.56
  6. Step 6: Final answer
    x = 110,019.91

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