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Finding the Third Proportional to 49,875.75 and 72,869.63

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Solution

The third proportional to 49,875.75 and 72,869.63 is: 106,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,875.75 : 72,869.63 = 72,869.63 : x
  2. Step 2: Convert to fraction form
    49,875.75/72,869.63 = 72,869.63/x
  3. Step 3: Cross multiply
    49,875.75x = 72,869.63 × 72,869.63
  4. Step 4: Simplify right side
    49,875.75x = 5,309,982,247.64
  5. Step 5: Solve for x
    x = 5,309,982,247.64/49,875.75
  6. Step 6: Final answer
    x = 106,464.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.