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Finding the Third Proportional to 12,568.50 and 17,312.91

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Solution

The third proportional to 12,568.50 and 17,312.91 is: 23,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.50 : 17,312.91 = 17,312.91 : x
  2. Step 2: Convert to fraction form
    12,568.50/17,312.91 = 17,312.91/x
  3. Step 3: Cross multiply
    12,568.50x = 17,312.91 × 17,312.91
  4. Step 4: Simplify right side
    12,568.50x = 299,736,722.82
  5. Step 5: Solve for x
    x = 299,736,722.82/12,568.50
  6. Step 6: Final answer
    x = 23,848.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.