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Finding the Third Proportional to 4,784.63 and 10,261.41

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Solution

The third proportional to 4,784.63 and 10,261.41 is: 22,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.63 : 10,261.41 = 10,261.41 : x
  2. Step 2: Convert to fraction form
    4,784.63/10,261.41 = 10,261.41/x
  3. Step 3: Cross multiply
    4,784.63x = 10,261.41 × 10,261.41
  4. Step 4: Simplify right side
    4,784.63x = 105,296,458.23
  5. Step 5: Solve for x
    x = 105,296,458.23/4,784.63
  6. Step 6: Final answer
    x = 22,007.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.