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Finding the Third Proportional to 6,848.50 and 14,579.63

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Solution

The third proportional to 6,848.50 and 14,579.63 is: 31,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.50 : 14,579.63 = 14,579.63 : x
  2. Step 2: Convert to fraction form
    6,848.50/14,579.63 = 14,579.63/x
  3. Step 3: Cross multiply
    6,848.50x = 14,579.63 × 14,579.63
  4. Step 4: Simplify right side
    6,848.50x = 212,565,465.14
  5. Step 5: Solve for x
    x = 212,565,465.14/6,848.50
  6. Step 6: Final answer
    x = 31,038.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.