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Finding the Third Proportional to 23,905.13 and 30,519.28

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Solution

The third proportional to 23,905.13 and 30,519.28 is: 38,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,905.13 : 30,519.28 = 30,519.28 : x
  2. Step 2: Convert to fraction form
    23,905.13/30,519.28 = 30,519.28/x
  3. Step 3: Cross multiply
    23,905.13x = 30,519.28 × 30,519.28
  4. Step 4: Simplify right side
    23,905.13x = 931,426,528.02
  5. Step 5: Solve for x
    x = 931,426,528.02/23,905.13
  6. Step 6: Final answer
    x = 38,963.47

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.