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Finding the Third Proportional to 15,160.38 and 21,708.94

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Solution

The third proportional to 15,160.38 and 21,708.94 is: 31,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160.38 : 21,708.94 = 21,708.94 : x
  2. Step 2: Convert to fraction form
    15,160.38/21,708.94 = 21,708.94/x
  3. Step 3: Cross multiply
    15,160.38x = 21,708.94 × 21,708.94
  4. Step 4: Simplify right side
    15,160.38x = 471,277,967.38
  5. Step 5: Solve for x
    x = 471,277,967.38/15,160.38
  6. Step 6: Final answer
    x = 31,086.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.