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Finding the Third Proportional to 11,583 and 25,353

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Solution

The third proportional to 11,583 and 25,353 is: 55,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 25,353 = 25,353 : x
  2. Step 2: Convert to fraction form
    11,583/25,353 = 25,353/x
  3. Step 3: Cross multiply
    11,583x = 25,353 × 25,353
  4. Step 4: Simplify right side
    11,583x = 642,774,609
  5. Step 5: Solve for x
    x = 642,774,609/11,583
  6. Step 6: Final answer
    x = 55,492.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.