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Finding the Third Proportional to 5,804.95 and 12,532.54

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Solution

The third proportional to 5,804.95 and 12,532.54 is: 27,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.95 : 12,532.54 = 12,532.54 : x
  2. Step 2: Convert to fraction form
    5,804.95/12,532.54 = 12,532.54/x
  3. Step 3: Cross multiply
    5,804.95x = 12,532.54 × 12,532.54
  4. Step 4: Simplify right side
    5,804.95x = 157,064,437.44
  5. Step 5: Solve for x
    x = 157,064,437.44/5,804.95
  6. Step 6: Final answer
    x = 27,057.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.