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Finding the Third Proportional to 7,830.50 and 12,139

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Solution

The third proportional to 7,830.50 and 12,139 is: 18,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.50 : 12,139 = 12,139 : x
  2. Step 2: Convert to fraction form
    7,830.50/12,139 = 12,139/x
  3. Step 3: Cross multiply
    7,830.50x = 12,139 × 12,139
  4. Step 4: Simplify right side
    7,830.50x = 147,355,321
  5. Step 5: Solve for x
    x = 147,355,321/7,830.50
  6. Step 6: Final answer
    x = 18,818.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.