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Finding the Third Proportional to 15,323.20 and 23,430.52

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Solution

The third proportional to 15,323.20 and 23,430.52 is: 35,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323.20 : 23,430.52 = 23,430.52 : x
  2. Step 2: Convert to fraction form
    15,323.20/23,430.52 = 23,430.52/x
  3. Step 3: Cross multiply
    15,323.20x = 23,430.52 × 23,430.52
  4. Step 4: Simplify right side
    15,323.20x = 548,989,062.45
  5. Step 5: Solve for x
    x = 548,989,062.45/15,323.20
  6. Step 6: Final answer
    x = 35,827.30

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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.