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Finding the Third Proportional to 11,359.50 and 23,287.50

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Solution

The third proportional to 11,359.50 and 23,287.50 is: 47,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.50 : 23,287.50 = 23,287.50 : x
  2. Step 2: Convert to fraction form
    11,359.50/23,287.50 = 23,287.50/x
  3. Step 3: Cross multiply
    11,359.50x = 23,287.50 × 23,287.50
  4. Step 4: Simplify right side
    11,359.50x = 542,307,656.25
  5. Step 5: Solve for x
    x = 542,307,656.25/11,359.50
  6. Step 6: Final answer
    x = 47,740.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.