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Finding the Third Proportional to 16,378.88 and 24,703.88

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Solution

The third proportional to 16,378.88 and 24,703.88 is: 37,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.88 : 24,703.88 = 24,703.88 : x
  2. Step 2: Convert to fraction form
    16,378.88/24,703.88 = 24,703.88/x
  3. Step 3: Cross multiply
    16,378.88x = 24,703.88 × 24,703.88
  4. Step 4: Simplify right side
    16,378.88x = 610,281,440.02
  5. Step 5: Solve for x
    x = 610,281,440.02/16,378.88
  6. Step 6: Final answer
    x = 37,260.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.