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Finding the Third Proportional to 11,374.43 and 23,657.08

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Solution

The third proportional to 11,374.43 and 23,657.08 is: 49,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.43 : 23,657.08 = 23,657.08 : x
  2. Step 2: Convert to fraction form
    11,374.43/23,657.08 = 23,657.08/x
  3. Step 3: Cross multiply
    11,374.43x = 23,657.08 × 23,657.08
  4. Step 4: Simplify right side
    11,374.43x = 559,657,541.78
  5. Step 5: Solve for x
    x = 559,657,541.78/11,374.43
  6. Step 6: Final answer
    x = 49,203.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.