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Finding the Third Proportional to 4,623.75 and 10,127.53

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Solution

The third proportional to 4,623.75 and 10,127.53 is: 22,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.75 : 10,127.53 = 10,127.53 : x
  2. Step 2: Convert to fraction form
    4,623.75/10,127.53 = 10,127.53/x
  3. Step 3: Cross multiply
    4,623.75x = 10,127.53 × 10,127.53
  4. Step 4: Simplify right side
    4,623.75x = 102,566,889.22
  5. Step 5: Solve for x
    x = 102,566,889.22/4,623.75
  6. Step 6: Final answer
    x = 22,182.62

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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.