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Finding the Third Proportional to 24,148.50 and 54,780

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Solution

The third proportional to 24,148.50 and 54,780 is: 124,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.50 : 54,780 = 54,780 : x
  2. Step 2: Convert to fraction form
    24,148.50/54,780 = 54,780/x
  3. Step 3: Cross multiply
    24,148.50x = 54,780 × 54,780
  4. Step 4: Simplify right side
    24,148.50x = 3,000,848,400
  5. Step 5: Solve for x
    x = 3,000,848,400/24,148.50
  6. Step 6: Final answer
    x = 124,266.45

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.