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Finding the Third Proportional to 5,315.63 and 12,415.78

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Solution

The third proportional to 5,315.63 and 12,415.78 is: 28,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.63 : 12,415.78 = 12,415.78 : x
  2. Step 2: Convert to fraction form
    5,315.63/12,415.78 = 12,415.78/x
  3. Step 3: Cross multiply
    5,315.63x = 12,415.78 × 12,415.78
  4. Step 4: Simplify right side
    5,315.63x = 154,151,624.05
  5. Step 5: Solve for x
    x = 154,151,624.05/5,315.63
  6. Step 6: Final answer
    x = 28,999.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.