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Finding the Third Proportional to 25,503 and 42,145

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Solution

The third proportional to 25,503 and 42,145 is: 69,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,503 : 42,145 = 42,145 : x
  2. Step 2: Convert to fraction form
    25,503/42,145 = 42,145/x
  3. Step 3: Cross multiply
    25,503x = 42,145 × 42,145
  4. Step 4: Simplify right side
    25,503x = 1,776,201,025
  5. Step 5: Solve for x
    x = 1,776,201,025/25,503
  6. Step 6: Final answer
    x = 69,646.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.