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Finding the Third Proportional to 25,776 and 39,021

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Solution

The third proportional to 25,776 and 39,021 is: 59,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776 : 39,021 = 39,021 : x
  2. Step 2: Convert to fraction form
    25,776/39,021 = 39,021/x
  3. Step 3: Cross multiply
    25,776x = 39,021 × 39,021
  4. Step 4: Simplify right side
    25,776x = 1,522,638,441
  5. Step 5: Solve for x
    x = 1,522,638,441/25,776
  6. Step 6: Final answer
    x = 59,071.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.