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Finding the Third Proportional to 38,043 and 50,476.50

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Solution

The third proportional to 38,043 and 50,476.50 is: 66,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,043 : 50,476.50 = 50,476.50 : x
  2. Step 2: Convert to fraction form
    38,043/50,476.50 = 50,476.50/x
  3. Step 3: Cross multiply
    38,043x = 50,476.50 × 50,476.50
  4. Step 4: Simplify right side
    38,043x = 2,547,877,052.25
  5. Step 5: Solve for x
    x = 2,547,877,052.25/38,043
  6. Step 6: Final answer
    x = 66,973.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.