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Finding the Third Proportional to 23,490 and 51,504.75

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Solution

The third proportional to 23,490 and 51,504.75 is: 112,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490 : 51,504.75 = 51,504.75 : x
  2. Step 2: Convert to fraction form
    23,490/51,504.75 = 51,504.75/x
  3. Step 3: Cross multiply
    23,490x = 51,504.75 × 51,504.75
  4. Step 4: Simplify right side
    23,490x = 2,652,739,272.56
  5. Step 5: Solve for x
    x = 2,652,739,272.56/23,490
  6. Step 6: Final answer
    x = 112,930.58

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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.