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Finding the Third Proportional to 7,047 and 14,807.81

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Solution

The third proportional to 7,047 and 14,807.81 is: 31,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 14,807.81 = 14,807.81 : x
  2. Step 2: Convert to fraction form
    7,047/14,807.81 = 14,807.81/x
  3. Step 3: Cross multiply
    7,047x = 14,807.81 × 14,807.81
  4. Step 4: Simplify right side
    7,047x = 219,271,311.04
  5. Step 5: Solve for x
    x = 219,271,311.04/7,047
  6. Step 6: Final answer
    x = 31,115.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.