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Finding the Third Proportional to 21,955 and 53,065

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Solution

The third proportional to 21,955 and 53,065 is: 128,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955 : 53,065 = 53,065 : x
  2. Step 2: Convert to fraction form
    21,955/53,065 = 53,065/x
  3. Step 3: Cross multiply
    21,955x = 53,065 × 53,065
  4. Step 4: Simplify right side
    21,955x = 2,815,894,225
  5. Step 5: Solve for x
    x = 2,815,894,225/21,955
  6. Step 6: Final answer
    x = 128,257.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.