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Finding the Third Proportional to 1,459.90 and 2,948.27

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Solution

The third proportional to 1,459.90 and 2,948.27 is: 5,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.90 : 2,948.27 = 2,948.27 : x
  2. Step 2: Convert to fraction form
    1,459.90/2,948.27 = 2,948.27/x
  3. Step 3: Cross multiply
    1,459.90x = 2,948.27 × 2,948.27
  4. Step 4: Simplify right side
    1,459.90x = 8,692,316.26
  5. Step 5: Solve for x
    x = 8,692,316.26/1,459.90
  6. Step 6: Final answer
    x = 5,954.06

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.