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Finding the Third Proportional to 11,564.25 and 18,293.63

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Solution

The third proportional to 11,564.25 and 18,293.63 is: 28,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.25 : 18,293.63 = 18,293.63 : x
  2. Step 2: Convert to fraction form
    11,564.25/18,293.63 = 18,293.63/x
  3. Step 3: Cross multiply
    11,564.25x = 18,293.63 × 18,293.63
  4. Step 4: Simplify right side
    11,564.25x = 334,656,715.64
  5. Step 5: Solve for x
    x = 334,656,715.64/11,564.25
  6. Step 6: Final answer
    x = 28,938.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.