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Finding the Third Proportional to 19,872 and 45,712

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Solution

The third proportional to 19,872 and 45,712 is: 105,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872 : 45,712 = 45,712 : x
  2. Step 2: Convert to fraction form
    19,872/45,712 = 45,712/x
  3. Step 3: Cross multiply
    19,872x = 45,712 × 45,712
  4. Step 4: Simplify right side
    19,872x = 2,089,586,944
  5. Step 5: Solve for x
    x = 2,089,586,944/19,872
  6. Step 6: Final answer
    x = 105,152.32

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.