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Finding the Third Proportional to 11,500.50 and 24,417

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Solution

The third proportional to 11,500.50 and 24,417 is: 51,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.50 : 24,417 = 24,417 : x
  2. Step 2: Convert to fraction form
    11,500.50/24,417 = 24,417/x
  3. Step 3: Cross multiply
    11,500.50x = 24,417 × 24,417
  4. Step 4: Simplify right side
    11,500.50x = 596,189,889
  5. Step 5: Solve for x
    x = 596,189,889/11,500.50
  6. Step 6: Final answer
    x = 51,840.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.