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Finding the Third Proportional to 16,417.69 and 35,807.06

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Solution

The third proportional to 16,417.69 and 35,807.06 is: 78,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.69 : 35,807.06 = 35,807.06 : x
  2. Step 2: Convert to fraction form
    16,417.69/35,807.06 = 35,807.06/x
  3. Step 3: Cross multiply
    16,417.69x = 35,807.06 × 35,807.06
  4. Step 4: Simplify right side
    16,417.69x = 1,282,145,724.88
  5. Step 5: Solve for x
    x = 1,282,145,724.88/16,417.69
  6. Step 6: Final answer
    x = 78,095.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.