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Finding the Third Proportional to 8,656.88 and 12,306.94

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Solution

The third proportional to 8,656.88 and 12,306.94 is: 17,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.88 : 12,306.94 = 12,306.94 : x
  2. Step 2: Convert to fraction form
    8,656.88/12,306.94 = 12,306.94/x
  3. Step 3: Cross multiply
    8,656.88x = 12,306.94 × 12,306.94
  4. Step 4: Simplify right side
    8,656.88x = 151,460,710.63
  5. Step 5: Solve for x
    x = 151,460,710.63/8,656.88
  6. Step 6: Final answer
    x = 17,496.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.