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Finding the Third Proportional to 25,393 and 39,709.50

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Solution

The third proportional to 25,393 and 39,709.50 is: 62,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,393 : 39,709.50 = 39,709.50 : x
  2. Step 2: Convert to fraction form
    25,393/39,709.50 = 39,709.50/x
  3. Step 3: Cross multiply
    25,393x = 39,709.50 × 39,709.50
  4. Step 4: Simplify right side
    25,393x = 1,576,844,390.25
  5. Step 5: Solve for x
    x = 1,576,844,390.25/25,393
  6. Step 6: Final answer
    x = 62,097.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.