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Finding the Third Proportional to 49,214.63 and 76,349.81

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Solution

The third proportional to 49,214.63 and 76,349.81 is: 118,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,214.63 : 76,349.81 = 76,349.81 : x
  2. Step 2: Convert to fraction form
    49,214.63/76,349.81 = 76,349.81/x
  3. Step 3: Cross multiply
    49,214.63x = 76,349.81 × 76,349.81
  4. Step 4: Simplify right side
    49,214.63x = 5,829,293,868.79
  5. Step 5: Solve for x
    x = 5,829,293,868.79/49,214.63
  6. Step 6: Final answer
    x = 118,446.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.