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Finding the Third Proportional to 13,156.17 and 17,068.85

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Solution

The third proportional to 13,156.17 and 17,068.85 is: 22,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.17 : 17,068.85 = 17,068.85 : x
  2. Step 2: Convert to fraction form
    13,156.17/17,068.85 = 17,068.85/x
  3. Step 3: Cross multiply
    13,156.17x = 17,068.85 × 17,068.85
  4. Step 4: Simplify right side
    13,156.17x = 291,345,693.66
  5. Step 5: Solve for x
    x = 291,345,693.66/13,156.17
  6. Step 6: Final answer
    x = 22,145.17

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.