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Finding the Third Proportional to 11,302.50 and 22,924.50

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Solution

The third proportional to 11,302.50 and 22,924.50 is: 46,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.50 : 22,924.50 = 22,924.50 : x
  2. Step 2: Convert to fraction form
    11,302.50/22,924.50 = 22,924.50/x
  3. Step 3: Cross multiply
    11,302.50x = 22,924.50 × 22,924.50
  4. Step 4: Simplify right side
    11,302.50x = 525,532,700.25
  5. Step 5: Solve for x
    x = 525,532,700.25/11,302.50
  6. Step 6: Final answer
    x = 46,497.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.