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Finding the Third Proportional to 49,230 and 76,376.25

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Solution

The third proportional to 49,230 and 76,376.25 is: 118,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,230 : 76,376.25 = 76,376.25 : x
  2. Step 2: Convert to fraction form
    49,230/76,376.25 = 76,376.25/x
  3. Step 3: Cross multiply
    49,230x = 76,376.25 × 76,376.25
  4. Step 4: Simplify right side
    49,230x = 5,833,331,564.06
  5. Step 5: Solve for x
    x = 5,833,331,564.06/49,230
  6. Step 6: Final answer
    x = 118,491.40

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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.