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Finding the Third Proportional to 7,106.50 and 11,123.50

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Solution

The third proportional to 7,106.50 and 11,123.50 is: 17,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.50 : 11,123.50 = 11,123.50 : x
  2. Step 2: Convert to fraction form
    7,106.50/11,123.50 = 11,123.50/x
  3. Step 3: Cross multiply
    7,106.50x = 11,123.50 × 11,123.50
  4. Step 4: Simplify right side
    7,106.50x = 123,732,252.25
  5. Step 5: Solve for x
    x = 123,732,252.25/7,106.50
  6. Step 6: Final answer
    x = 17,411.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.