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Finding the Third Proportional to 21,596.63 and 35,265.38

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Solution

The third proportional to 21,596.63 and 35,265.38 is: 57,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596.63 : 35,265.38 = 35,265.38 : x
  2. Step 2: Convert to fraction form
    21,596.63/35,265.38 = 35,265.38/x
  3. Step 3: Cross multiply
    21,596.63x = 35,265.38 × 35,265.38
  4. Step 4: Simplify right side
    21,596.63x = 1,243,646,673.89
  5. Step 5: Solve for x
    x = 1,243,646,673.89/21,596.63
  6. Step 6: Final answer
    x = 57,585.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.