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Finding the Third Proportional to 9,807.05 and 21,436.45

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Solution

The third proportional to 9,807.05 and 21,436.45 is: 46,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.05 : 21,436.45 = 21,436.45 : x
  2. Step 2: Convert to fraction form
    9,807.05/21,436.45 = 21,436.45/x
  3. Step 3: Cross multiply
    9,807.05x = 21,436.45 × 21,436.45
  4. Step 4: Simplify right side
    9,807.05x = 459,521,522.58
  5. Step 5: Solve for x
    x = 459,521,522.58/9,807.05
  6. Step 6: Final answer
    x = 46,856.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.