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Finding the Third Proportional to 21,298.63 and 32,246.44

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Solution

The third proportional to 21,298.63 and 32,246.44 is: 48,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,298.63 : 32,246.44 = 32,246.44 : x
  2. Step 2: Convert to fraction form
    21,298.63/32,246.44 = 32,246.44/x
  3. Step 3: Cross multiply
    21,298.63x = 32,246.44 × 32,246.44
  4. Step 4: Simplify right side
    21,298.63x = 1,039,832,731.44
  5. Step 5: Solve for x
    x = 1,039,832,731.44/21,298.63
  6. Step 6: Final answer
    x = 48,821.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.