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Finding the Third Proportional to 19,509.29 and 25,637.45

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Solution

The third proportional to 19,509.29 and 25,637.45 is: 33,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.29 : 25,637.45 = 25,637.45 : x
  2. Step 2: Convert to fraction form
    19,509.29/25,637.45 = 25,637.45/x
  3. Step 3: Cross multiply
    19,509.29x = 25,637.45 × 25,637.45
  4. Step 4: Simplify right side
    19,509.29x = 657,278,802.44
  5. Step 5: Solve for x
    x = 657,278,802.44/19,509.29
  6. Step 6: Final answer
    x = 33,690.55

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.