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Finding the Third Proportional to 28,323 and 57,874.50

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Solution

The third proportional to 28,323 and 57,874.50 is: 118,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,323 : 57,874.50 = 57,874.50 : x
  2. Step 2: Convert to fraction form
    28,323/57,874.50 = 57,874.50/x
  3. Step 3: Cross multiply
    28,323x = 57,874.50 × 57,874.50
  4. Step 4: Simplify right side
    28,323x = 3,349,457,750.25
  5. Step 5: Solve for x
    x = 3,349,457,750.25/28,323
  6. Step 6: Final answer
    x = 118,259.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.