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Finding the Third Proportional to 1,060.17 and 1,154.67

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Solution

The third proportional to 1,060.17 and 1,154.67 is: 1,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.17 : 1,154.67 = 1,154.67 : x
  2. Step 2: Convert to fraction form
    1,060.17/1,154.67 = 1,154.67/x
  3. Step 3: Cross multiply
    1,060.17x = 1,154.67 × 1,154.67
  4. Step 4: Simplify right side
    1,060.17x = 1,333,267.14
  5. Step 5: Solve for x
    x = 1,333,267.14/1,060.17
  6. Step 6: Final answer
    x = 1,257.60

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.