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Finding the Third Proportional to 9,602.30 and 21,095.44

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Solution

The third proportional to 9,602.30 and 21,095.44 is: 46,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.30 : 21,095.44 = 21,095.44 : x
  2. Step 2: Convert to fraction form
    9,602.30/21,095.44 = 21,095.44/x
  3. Step 3: Cross multiply
    9,602.30x = 21,095.44 × 21,095.44
  4. Step 4: Simplify right side
    9,602.30x = 445,017,483.32
  5. Step 5: Solve for x
    x = 445,017,483.32/9,602.30
  6. Step 6: Final answer
    x = 46,344.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.