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Finding the Third Proportional to 15,326.72 and 23,435.16

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Solution

The third proportional to 15,326.72 and 23,435.16 is: 35,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,326.72 : 23,435.16 = 23,435.16 : x
  2. Step 2: Convert to fraction form
    15,326.72/23,435.16 = 23,435.16/x
  3. Step 3: Cross multiply
    15,326.72x = 23,435.16 × 23,435.16
  4. Step 4: Simplify right side
    15,326.72x = 549,206,548.46
  5. Step 5: Solve for x
    x = 549,206,548.46/15,326.72
  6. Step 6: Final answer
    x = 35,833.28

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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.