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Finding the Third Proportional to 6,312 and 12,895.50

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Solution

The third proportional to 6,312 and 12,895.50 is: 26,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312 : 12,895.50 = 12,895.50 : x
  2. Step 2: Convert to fraction form
    6,312/12,895.50 = 12,895.50/x
  3. Step 3: Cross multiply
    6,312x = 12,895.50 × 12,895.50
  4. Step 4: Simplify right side
    6,312x = 166,293,920.25
  5. Step 5: Solve for x
    x = 166,293,920.25/6,312
  6. Step 6: Final answer
    x = 26,345.68

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.