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Finding the Third Proportional to 7,260.19 and 10,677.63

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Solution

The third proportional to 7,260.19 and 10,677.63 is: 15,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.19 : 10,677.63 = 10,677.63 : x
  2. Step 2: Convert to fraction form
    7,260.19/10,677.63 = 10,677.63/x
  3. Step 3: Cross multiply
    7,260.19x = 10,677.63 × 10,677.63
  4. Step 4: Simplify right side
    7,260.19x = 114,011,675.64
  5. Step 5: Solve for x
    x = 114,011,675.64/7,260.19
  6. Step 6: Final answer
    x = 15,703.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.