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Finding the Third Proportional to 830.63 and 1,292.81

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Solution

The third proportional to 830.63 and 1,292.81 is: 2,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.63 : 1,292.81 = 1,292.81 : x
  2. Step 2: Convert to fraction form
    830.63/1,292.81 = 1,292.81/x
  3. Step 3: Cross multiply
    830.63x = 1,292.81 × 1,292.81
  4. Step 4: Simplify right side
    830.63x = 1,671,364.16
  5. Step 5: Solve for x
    x = 1,671,364.16/830.63
  6. Step 6: Final answer
    x = 2,012.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.