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Finding the Third Proportional to 15,373 and 23,505.63

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Solution

The third proportional to 15,373 and 23,505.63 is: 35,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,373 : 23,505.63 = 23,505.63 : x
  2. Step 2: Convert to fraction form
    15,373/23,505.63 = 23,505.63/x
  3. Step 3: Cross multiply
    15,373x = 23,505.63 × 23,505.63
  4. Step 4: Simplify right side
    15,373x = 552,514,406.64
  5. Step 5: Solve for x
    x = 552,514,406.64/15,373
  6. Step 6: Final answer
    x = 35,940.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.