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Finding the Third Proportional to 1,458.95 and 3,122.93

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Solution

The third proportional to 1,458.95 and 3,122.93 is: 6,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.95 : 3,122.93 = 3,122.93 : x
  2. Step 2: Convert to fraction form
    1,458.95/3,122.93 = 3,122.93/x
  3. Step 3: Cross multiply
    1,458.95x = 3,122.93 × 3,122.93
  4. Step 4: Simplify right side
    1,458.95x = 9,752,689.83
  5. Step 5: Solve for x
    x = 9,752,689.83/1,458.95
  6. Step 6: Final answer
    x = 6,684.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.