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Finding the Third Proportional to 5,895.45 and 8,898.30

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Solution

The third proportional to 5,895.45 and 8,898.30 is: 13,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.45 : 8,898.30 = 8,898.30 : x
  2. Step 2: Convert to fraction form
    5,895.45/8,898.30 = 8,898.30/x
  3. Step 3: Cross multiply
    5,895.45x = 8,898.30 × 8,898.30
  4. Step 4: Simplify right side
    5,895.45x = 79,179,826.31
  5. Step 5: Solve for x
    x = 79,179,826.31/5,895.45
  6. Step 6: Final answer
    x = 13,430.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.