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Finding the Third Proportional to 20,076 and 29,962.50

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Solution

The third proportional to 20,076 and 29,962.50 is: 44,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076 : 29,962.50 = 29,962.50 : x
  2. Step 2: Convert to fraction form
    20,076/29,962.50 = 29,962.50/x
  3. Step 3: Cross multiply
    20,076x = 29,962.50 × 29,962.50
  4. Step 4: Simplify right side
    20,076x = 897,751,406.25
  5. Step 5: Solve for x
    x = 897,751,406.25/20,076
  6. Step 6: Final answer
    x = 44,717.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.