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Finding the Third Proportional to 15,393.38 and 22,541.63

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Solution

The third proportional to 15,393.38 and 22,541.63 is: 33,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,393.38 : 22,541.63 = 22,541.63 : x
  2. Step 2: Convert to fraction form
    15,393.38/22,541.63 = 22,541.63/x
  3. Step 3: Cross multiply
    15,393.38x = 22,541.63 × 22,541.63
  4. Step 4: Simplify right side
    15,393.38x = 508,124,857.64
  5. Step 5: Solve for x
    x = 508,124,857.64/15,393.38
  6. Step 6: Final answer
    x = 33,009.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.