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Finding the Third Proportional to 21,537 and 47,193.75

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Solution

The third proportional to 21,537 and 47,193.75 is: 103,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537 : 47,193.75 = 47,193.75 : x
  2. Step 2: Convert to fraction form
    21,537/47,193.75 = 47,193.75/x
  3. Step 3: Cross multiply
    21,537x = 47,193.75 × 47,193.75
  4. Step 4: Simplify right side
    21,537x = 2,227,250,039.06
  5. Step 5: Solve for x
    x = 2,227,250,039.06/21,537
  6. Step 6: Final answer
    x = 103,415.05

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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.