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Finding the Third Proportional to 10,472.63 and 23,684.06

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Solution

The third proportional to 10,472.63 and 23,684.06 is: 53,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.63 : 23,684.06 = 23,684.06 : x
  2. Step 2: Convert to fraction form
    10,472.63/23,684.06 = 23,684.06/x
  3. Step 3: Cross multiply
    10,472.63x = 23,684.06 × 23,684.06
  4. Step 4: Simplify right side
    10,472.63x = 560,934,816.50
  5. Step 5: Solve for x
    x = 560,934,816.50/10,472.63
  6. Step 6: Final answer
    x = 53,562.01

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.