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Finding the Third Proportional to 23,453.25 and 47,862

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Solution

The third proportional to 23,453.25 and 47,862 is: 97,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.25 : 47,862 = 47,862 : x
  2. Step 2: Convert to fraction form
    23,453.25/47,862 = 47,862/x
  3. Step 3: Cross multiply
    23,453.25x = 47,862 × 47,862
  4. Step 4: Simplify right side
    23,453.25x = 2,290,771,044
  5. Step 5: Solve for x
    x = 2,290,771,044/23,453.25
  6. Step 6: Final answer
    x = 97,673.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.