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Finding the Third Proportional to 7,763.63 and 16,756.50

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Solution

The third proportional to 7,763.63 and 16,756.50 is: 36,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.63 : 16,756.50 = 16,756.50 : x
  2. Step 2: Convert to fraction form
    7,763.63/16,756.50 = 16,756.50/x
  3. Step 3: Cross multiply
    7,763.63x = 16,756.50 × 16,756.50
  4. Step 4: Simplify right side
    7,763.63x = 280,780,292.25
  5. Step 5: Solve for x
    x = 280,780,292.25/7,763.63
  6. Step 6: Final answer
    x = 36,166.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.