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Finding the Third Proportional to 9,877.88 and 23,317.63

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Solution

The third proportional to 9,877.88 and 23,317.63 is: 55,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.88 : 23,317.63 = 23,317.63 : x
  2. Step 2: Convert to fraction form
    9,877.88/23,317.63 = 23,317.63/x
  3. Step 3: Cross multiply
    9,877.88x = 23,317.63 × 23,317.63
  4. Step 4: Simplify right side
    9,877.88x = 543,711,635.64
  5. Step 5: Solve for x
    x = 543,711,635.64/9,877.88
  6. Step 6: Final answer
    x = 55,043.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.