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Finding the Third Proportional to 21,365.44 and 46,013.06

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Solution

The third proportional to 21,365.44 and 46,013.06 is: 99,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.44 : 46,013.06 = 46,013.06 : x
  2. Step 2: Convert to fraction form
    21,365.44/46,013.06 = 46,013.06/x
  3. Step 3: Cross multiply
    21,365.44x = 46,013.06 × 46,013.06
  4. Step 4: Simplify right side
    21,365.44x = 2,117,201,920.63
  5. Step 5: Solve for x
    x = 2,117,201,920.63/21,365.44
  6. Step 6: Final answer
    x = 99,094.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.