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Finding the Third Proportional to 2,572 and 6,053

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Solution

The third proportional to 2,572 and 6,053 is: 14,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572 : 6,053 = 6,053 : x
  2. Step 2: Convert to fraction form
    2,572/6,053 = 6,053/x
  3. Step 3: Cross multiply
    2,572x = 6,053 × 6,053
  4. Step 4: Simplify right side
    2,572x = 36,638,809
  5. Step 5: Solve for x
    x = 36,638,809/2,572
  6. Step 6: Final answer
    x = 14,245.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.