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Finding the Third Proportional to 1,706.34 and 2,465.86

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Solution

The third proportional to 1,706.34 and 2,465.86 is: 3,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.34 : 2,465.86 = 2,465.86 : x
  2. Step 2: Convert to fraction form
    1,706.34/2,465.86 = 2,465.86/x
  3. Step 3: Cross multiply
    1,706.34x = 2,465.86 × 2,465.86
  4. Step 4: Simplify right side
    1,706.34x = 6,080,462.46
  5. Step 5: Solve for x
    x = 6,080,462.46/1,706.34
  6. Step 6: Final answer
    x = 3,563.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.