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Finding the Third Proportional to 23,076 and 30,415.50

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Solution

The third proportional to 23,076 and 30,415.50 is: 40,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076 : 30,415.50 = 30,415.50 : x
  2. Step 2: Convert to fraction form
    23,076/30,415.50 = 30,415.50/x
  3. Step 3: Cross multiply
    23,076x = 30,415.50 × 30,415.50
  4. Step 4: Simplify right side
    23,076x = 925,102,640.25
  5. Step 5: Solve for x
    x = 925,102,640.25/23,076
  6. Step 6: Final answer
    x = 40,089.38

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.