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Finding the Third Proportional to 16,870.50 and 36,653.63

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Solution

The third proportional to 16,870.50 and 36,653.63 is: 79,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870.50 : 36,653.63 = 36,653.63 : x
  2. Step 2: Convert to fraction form
    16,870.50/36,653.63 = 36,653.63/x
  3. Step 3: Cross multiply
    16,870.50x = 36,653.63 × 36,653.63
  4. Step 4: Simplify right side
    16,870.50x = 1,343,488,225.64
  5. Step 5: Solve for x
    x = 1,343,488,225.64/16,870.50
  6. Step 6: Final answer
    x = 79,635.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.