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Finding the Third Proportional to 5,354.86 and 8,374.01

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Solution

The third proportional to 5,354.86 and 8,374.01 is: 13,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.86 : 8,374.01 = 8,374.01 : x
  2. Step 2: Convert to fraction form
    5,354.86/8,374.01 = 8,374.01/x
  3. Step 3: Cross multiply
    5,354.86x = 8,374.01 × 8,374.01
  4. Step 4: Simplify right side
    5,354.86x = 70,124,006.84
  5. Step 5: Solve for x
    x = 70,124,006.84/5,354.86
  6. Step 6: Final answer
    x = 13,095.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.