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Finding the Third Proportional to 10,509.45 and 20,726.98

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Solution

The third proportional to 10,509.45 and 20,726.98 is: 40,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.45 : 20,726.98 = 20,726.98 : x
  2. Step 2: Convert to fraction form
    10,509.45/20,726.98 = 20,726.98/x
  3. Step 3: Cross multiply
    10,509.45x = 20,726.98 × 20,726.98
  4. Step 4: Simplify right side
    10,509.45x = 429,607,595.37
  5. Step 5: Solve for x
    x = 429,607,595.37/10,509.45
  6. Step 6: Final answer
    x = 40,878.21

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.