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Finding the Third Proportional to 11,735.63 and 26,095.03

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Solution

The third proportional to 11,735.63 and 26,095.03 is: 58,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.63 : 26,095.03 = 26,095.03 : x
  2. Step 2: Convert to fraction form
    11,735.63/26,095.03 = 26,095.03/x
  3. Step 3: Cross multiply
    11,735.63x = 26,095.03 × 26,095.03
  4. Step 4: Simplify right side
    11,735.63x = 680,950,655.94
  5. Step 5: Solve for x
    x = 680,950,655.94/11,735.63
  6. Step 6: Final answer
    x = 58,024.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.