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Finding the Third Proportional to 25,435.50 and 39,431

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Solution

The third proportional to 25,435.50 and 39,431 is: 61,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.50 : 39,431 = 39,431 : x
  2. Step 2: Convert to fraction form
    25,435.50/39,431 = 39,431/x
  3. Step 3: Cross multiply
    25,435.50x = 39,431 × 39,431
  4. Step 4: Simplify right side
    25,435.50x = 1,554,803,761
  5. Step 5: Solve for x
    x = 1,554,803,761/25,435.50
  6. Step 6: Final answer
    x = 61,127.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.