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Finding the Third Proportional to 25,335 and 53,085

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Solution

The third proportional to 25,335 and 53,085 is: 111,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335 : 53,085 = 53,085 : x
  2. Step 2: Convert to fraction form
    25,335/53,085 = 53,085/x
  3. Step 3: Cross multiply
    25,335x = 53,085 × 53,085
  4. Step 4: Simplify right side
    25,335x = 2,818,017,225
  5. Step 5: Solve for x
    x = 2,818,017,225/25,335
  6. Step 6: Final answer
    x = 111,230.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.