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Finding the Third Proportional to 7,897.50 and 12,506.91

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Solution

The third proportional to 7,897.50 and 12,506.91 is: 19,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.50 : 12,506.91 = 12,506.91 : x
  2. Step 2: Convert to fraction form
    7,897.50/12,506.91 = 12,506.91/x
  3. Step 3: Cross multiply
    7,897.50x = 12,506.91 × 12,506.91
  4. Step 4: Simplify right side
    7,897.50x = 156,422,703.95
  5. Step 5: Solve for x
    x = 156,422,703.95/7,897.50
  6. Step 6: Final answer
    x = 19,806.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.