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Finding the Third Proportional to 25,963 and 38,900.50

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Solution

The third proportional to 25,963 and 38,900.50 is: 58,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963 : 38,900.50 = 38,900.50 : x
  2. Step 2: Convert to fraction form
    25,963/38,900.50 = 38,900.50/x
  3. Step 3: Cross multiply
    25,963x = 38,900.50 × 38,900.50
  4. Step 4: Simplify right side
    25,963x = 1,513,248,900.25
  5. Step 5: Solve for x
    x = 1,513,248,900.25/25,963
  6. Step 6: Final answer
    x = 58,284.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.