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Finding the Third Proportional to 11,260 and 23,001.50

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Solution

The third proportional to 11,260 and 23,001.50 is: 46,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260 : 23,001.50 = 23,001.50 : x
  2. Step 2: Convert to fraction form
    11,260/23,001.50 = 23,001.50/x
  3. Step 3: Cross multiply
    11,260x = 23,001.50 × 23,001.50
  4. Step 4: Simplify right side
    11,260x = 529,069,002.25
  5. Step 5: Solve for x
    x = 529,069,002.25/11,260
  6. Step 6: Final answer
    x = 46,986.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.