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Finding the Third Proportional to 11,302.88 and 24,782.63

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Solution

The third proportional to 11,302.88 and 24,782.63 is: 54,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.88 : 24,782.63 = 24,782.63 : x
  2. Step 2: Convert to fraction form
    11,302.88/24,782.63 = 24,782.63/x
  3. Step 3: Cross multiply
    11,302.88x = 24,782.63 × 24,782.63
  4. Step 4: Simplify right side
    11,302.88x = 614,178,501.89
  5. Step 5: Solve for x
    x = 614,178,501.89/11,302.88
  6. Step 6: Final answer
    x = 54,338.25

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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.