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Finding the Third Proportional to 9,145.41 and 13,657.36

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Solution

The third proportional to 9,145.41 and 13,657.36 is: 20,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.41 : 13,657.36 = 13,657.36 : x
  2. Step 2: Convert to fraction form
    9,145.41/13,657.36 = 13,657.36/x
  3. Step 3: Cross multiply
    9,145.41x = 13,657.36 × 13,657.36
  4. Step 4: Simplify right side
    9,145.41x = 186,523,465.10
  5. Step 5: Solve for x
    x = 186,523,465.10/9,145.41
  6. Step 6: Final answer
    x = 20,395.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.