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Finding the Third Proportional to 11,565 and 24,583.50

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Solution

The third proportional to 11,565 and 24,583.50 is: 52,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565 : 24,583.50 = 24,583.50 : x
  2. Step 2: Convert to fraction form
    11,565/24,583.50 = 24,583.50/x
  3. Step 3: Cross multiply
    11,565x = 24,583.50 × 24,583.50
  4. Step 4: Simplify right side
    11,565x = 604,348,472.25
  5. Step 5: Solve for x
    x = 604,348,472.25/11,565
  6. Step 6: Final answer
    x = 52,256.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.