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Finding the Third Proportional to 929.95 and 2,026.83

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Solution

The third proportional to 929.95 and 2,026.83 is: 4,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.95 : 2,026.83 = 2,026.83 : x
  2. Step 2: Convert to fraction form
    929.95/2,026.83 = 2,026.83/x
  3. Step 3: Cross multiply
    929.95x = 2,026.83 × 2,026.83
  4. Step 4: Simplify right side
    929.95x = 4,108,032.25
  5. Step 5: Solve for x
    x = 4,108,032.25/929.95
  6. Step 6: Final answer
    x = 4,417.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.