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Finding the Third Proportional to 11,580.50 and 24,437

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Solution

The third proportional to 11,580.50 and 24,437 is: 51,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.50 : 24,437 = 24,437 : x
  2. Step 2: Convert to fraction form
    11,580.50/24,437 = 24,437/x
  3. Step 3: Cross multiply
    11,580.50x = 24,437 × 24,437
  4. Step 4: Simplify right side
    11,580.50x = 597,166,969
  5. Step 5: Solve for x
    x = 597,166,969/11,580.50
  6. Step 6: Final answer
    x = 51,566.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.