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Finding the Third Proportional to 1,416 and 2,070

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Solution

The third proportional to 1,416 and 2,070 is: 3,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416 : 2,070 = 2,070 : x
  2. Step 2: Convert to fraction form
    1,416/2,070 = 2,070/x
  3. Step 3: Cross multiply
    1,416x = 2,070 × 2,070
  4. Step 4: Simplify right side
    1,416x = 4,284,900
  5. Step 5: Solve for x
    x = 4,284,900/1,416
  6. Step 6: Final answer
    x = 3,026.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.