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Finding the Third Proportional to 25,430 and 59,064

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Solution

The third proportional to 25,430 and 59,064 is: 137,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,430 : 59,064 = 59,064 : x
  2. Step 2: Convert to fraction form
    25,430/59,064 = 59,064/x
  3. Step 3: Cross multiply
    25,430x = 59,064 × 59,064
  4. Step 4: Simplify right side
    25,430x = 3,488,556,096
  5. Step 5: Solve for x
    x = 3,488,556,096/25,430
  6. Step 6: Final answer
    x = 137,182.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.