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Finding the Third Proportional to 25,210 and 37,807

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Solution

The third proportional to 25,210 and 37,807 is: 56,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210 : 37,807 = 37,807 : x
  2. Step 2: Convert to fraction form
    25,210/37,807 = 37,807/x
  3. Step 3: Cross multiply
    25,210x = 37,807 × 37,807
  4. Step 4: Simplify right side
    25,210x = 1,429,369,249
  5. Step 5: Solve for x
    x = 1,429,369,249/25,210
  6. Step 6: Final answer
    x = 56,698.50

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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.