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Finding the Third Proportional to 10,909.69 and 12,653.72

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Solution

The third proportional to 10,909.69 and 12,653.72 is: 14,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 12,653.72 = 12,653.72 : x
  2. Step 2: Convert to fraction form
    10,909.69/12,653.72 = 12,653.72/x
  3. Step 3: Cross multiply
    10,909.69x = 12,653.72 × 12,653.72
  4. Step 4: Simplify right side
    10,909.69x = 160,116,598.20
  5. Step 5: Solve for x
    x = 160,116,598.20/10,909.69
  6. Step 6: Final answer
    x = 14,676.55

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.