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Finding the Third Proportional to 22,900.50 and 34,178

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Solution

The third proportional to 22,900.50 and 34,178 is: 51,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.50 : 34,178 = 34,178 : x
  2. Step 2: Convert to fraction form
    22,900.50/34,178 = 34,178/x
  3. Step 3: Cross multiply
    22,900.50x = 34,178 × 34,178
  4. Step 4: Simplify right side
    22,900.50x = 1,168,135,684
  5. Step 5: Solve for x
    x = 1,168,135,684/22,900.50
  6. Step 6: Final answer
    x = 51,009.18

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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.