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Finding the Third Proportional to 25,430 and 53,185

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Solution

The third proportional to 25,430 and 53,185 is: 111,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,430 : 53,185 = 53,185 : x
  2. Step 2: Convert to fraction form
    25,430/53,185 = 53,185/x
  3. Step 3: Cross multiply
    25,430x = 53,185 × 53,185
  4. Step 4: Simplify right side
    25,430x = 2,828,644,225
  5. Step 5: Solve for x
    x = 2,828,644,225/25,430
  6. Step 6: Final answer
    x = 111,232.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.