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Finding the Third Proportional to 6,888.94 and 14,870.81

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Solution

The third proportional to 6,888.94 and 14,870.81 is: 32,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.94 : 14,870.81 = 14,870.81 : x
  2. Step 2: Convert to fraction form
    6,888.94/14,870.81 = 14,870.81/x
  3. Step 3: Cross multiply
    6,888.94x = 14,870.81 × 14,870.81
  4. Step 4: Simplify right side
    6,888.94x = 221,141,064.41
  5. Step 5: Solve for x
    x = 221,141,064.41/6,888.94
  6. Step 6: Final answer
    x = 32,100.90

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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.