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Finding the Third Proportional to 7,140 and 14,536

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Solution

The third proportional to 7,140 and 14,536 is: 29,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 14,536 = 14,536 : x
  2. Step 2: Convert to fraction form
    7,140/14,536 = 14,536/x
  3. Step 3: Cross multiply
    7,140x = 14,536 × 14,536
  4. Step 4: Simplify right side
    7,140x = 211,295,296
  5. Step 5: Solve for x
    x = 211,295,296/7,140
  6. Step 6: Final answer
    x = 29,593.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.