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Finding the Third Proportional to 15,365.72 and 23,731.06

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Solution

The third proportional to 15,365.72 and 23,731.06 is: 36,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,365.72 : 23,731.06 = 23,731.06 : x
  2. Step 2: Convert to fraction form
    15,365.72/23,731.06 = 23,731.06/x
  3. Step 3: Cross multiply
    15,365.72x = 23,731.06 × 23,731.06
  4. Step 4: Simplify right side
    15,365.72x = 563,163,304.20
  5. Step 5: Solve for x
    x = 563,163,304.20/15,365.72
  6. Step 6: Final answer
    x = 36,650.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.