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Finding the Third Proportional to 14,382.88 and 19,432.25

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Solution

The third proportional to 14,382.88 and 19,432.25 is: 26,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.88 : 19,432.25 = 19,432.25 : x
  2. Step 2: Convert to fraction form
    14,382.88/19,432.25 = 19,432.25/x
  3. Step 3: Cross multiply
    14,382.88x = 19,432.25 × 19,432.25
  4. Step 4: Simplify right side
    14,382.88x = 377,612,340.06
  5. Step 5: Solve for x
    x = 377,612,340.06/14,382.88
  6. Step 6: Final answer
    x = 26,254.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.