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Finding the Third Proportional to 7,202 and 16,553

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Solution

The third proportional to 7,202 and 16,553 is: 38,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202 : 16,553 = 16,553 : x
  2. Step 2: Convert to fraction form
    7,202/16,553 = 16,553/x
  3. Step 3: Cross multiply
    7,202x = 16,553 × 16,553
  4. Step 4: Simplify right side
    7,202x = 274,001,809
  5. Step 5: Solve for x
    x = 274,001,809/7,202
  6. Step 6: Final answer
    x = 38,045.24

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.