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Finding the Third Proportional to 13,820.63 and 30,223.13

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Solution

The third proportional to 13,820.63 and 30,223.13 is: 66,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.63 : 30,223.13 = 30,223.13 : x
  2. Step 2: Convert to fraction form
    13,820.63/30,223.13 = 30,223.13/x
  3. Step 3: Cross multiply
    13,820.63x = 30,223.13 × 30,223.13
  4. Step 4: Simplify right side
    13,820.63x = 913,437,284.77
  5. Step 5: Solve for x
    x = 913,437,284.77/13,820.63
  6. Step 6: Final answer
    x = 66,092.33

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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.