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Finding the Third Proportional to 25,319 and 53,365

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Solution

The third proportional to 25,319 and 53,365 is: 112,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,319 : 53,365 = 53,365 : x
  2. Step 2: Convert to fraction form
    25,319/53,365 = 53,365/x
  3. Step 3: Cross multiply
    25,319x = 53,365 × 53,365
  4. Step 4: Simplify right side
    25,319x = 2,847,823,225
  5. Step 5: Solve for x
    x = 2,847,823,225/25,319
  6. Step 6: Final answer
    x = 112,477.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.