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Finding the Third Proportional to 22,804 and 36,428.50

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Solution

The third proportional to 22,804 and 36,428.50 is: 58,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804 : 36,428.50 = 36,428.50 : x
  2. Step 2: Convert to fraction form
    22,804/36,428.50 = 36,428.50/x
  3. Step 3: Cross multiply
    22,804x = 36,428.50 × 36,428.50
  4. Step 4: Simplify right side
    22,804x = 1,327,035,612.25
  5. Step 5: Solve for x
    x = 1,327,035,612.25/22,804
  6. Step 6: Final answer
    x = 58,193.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.