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Finding the Third Proportional to 19,569.75 and 26,215.50

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Solution

The third proportional to 19,569.75 and 26,215.50 is: 35,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569.75 : 26,215.50 = 26,215.50 : x
  2. Step 2: Convert to fraction form
    19,569.75/26,215.50 = 26,215.50/x
  3. Step 3: Cross multiply
    19,569.75x = 26,215.50 × 26,215.50
  4. Step 4: Simplify right side
    19,569.75x = 687,252,440.25
  5. Step 5: Solve for x
    x = 687,252,440.25/19,569.75
  6. Step 6: Final answer
    x = 35,118.10

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.