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Finding the Third Proportional to 39,246 and 56,050

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Solution

The third proportional to 39,246 and 56,050 is: 80,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,246 : 56,050 = 56,050 : x
  2. Step 2: Convert to fraction form
    39,246/56,050 = 56,050/x
  3. Step 3: Cross multiply
    39,246x = 56,050 × 56,050
  4. Step 4: Simplify right side
    39,246x = 3,141,602,500
  5. Step 5: Solve for x
    x = 3,141,602,500/39,246
  6. Step 6: Final answer
    x = 80,048.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.