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Finding the Third Proportional to 926.81 and 1,840.13

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Solution

The third proportional to 926.81 and 1,840.13 is: 3,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.81 : 1,840.13 = 1,840.13 : x
  2. Step 2: Convert to fraction form
    926.81/1,840.13 = 1,840.13/x
  3. Step 3: Cross multiply
    926.81x = 1,840.13 × 1,840.13
  4. Step 4: Simplify right side
    926.81x = 3,386,060.02
  5. Step 5: Solve for x
    x = 3,386,060.02/926.81
  6. Step 6: Final answer
    x = 3,653.45

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.