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Finding the Third Proportional to 929.81 and 1,262.06

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Solution

The third proportional to 929.81 and 1,262.06 is: 1,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.81 : 1,262.06 = 1,262.06 : x
  2. Step 2: Convert to fraction form
    929.81/1,262.06 = 1,262.06/x
  3. Step 3: Cross multiply
    929.81x = 1,262.06 × 1,262.06
  4. Step 4: Simplify right side
    929.81x = 1,592,801.75
  5. Step 5: Solve for x
    x = 1,592,801.75/929.81
  6. Step 6: Final answer
    x = 1,713.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.