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Finding the Third Proportional to 24,030 and 48,732

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Solution

The third proportional to 24,030 and 48,732 is: 98,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,030 : 48,732 = 48,732 : x
  2. Step 2: Convert to fraction form
    24,030/48,732 = 48,732/x
  3. Step 3: Cross multiply
    24,030x = 48,732 × 48,732
  4. Step 4: Simplify right side
    24,030x = 2,374,807,824
  5. Step 5: Solve for x
    x = 2,374,807,824/24,030
  6. Step 6: Final answer
    x = 98,826.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.