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Finding the Third Proportional to 9,588.38 and 21,029.63

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Solution

The third proportional to 9,588.38 and 21,029.63 is: 46,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.38 : 21,029.63 = 21,029.63 : x
  2. Step 2: Convert to fraction form
    9,588.38/21,029.63 = 21,029.63/x
  3. Step 3: Cross multiply
    9,588.38x = 21,029.63 × 21,029.63
  4. Step 4: Simplify right side
    9,588.38x = 442,245,127.64
  5. Step 5: Solve for x
    x = 442,245,127.64/9,588.38
  6. Step 6: Final answer
    x = 46,123.05

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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.