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Finding the Third Proportional to 929.81 and 2,158.03

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Solution

The third proportional to 929.81 and 2,158.03 is: 5,008.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.81 : 2,158.03 = 2,158.03 : x
  2. Step 2: Convert to fraction form
    929.81/2,158.03 = 2,158.03/x
  3. Step 3: Cross multiply
    929.81x = 2,158.03 × 2,158.03
  4. Step 4: Simplify right side
    929.81x = 4,657,098.88
  5. Step 5: Solve for x
    x = 4,657,098.88/929.81
  6. Step 6: Final answer
    x = 5,008.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.