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Finding the Third Proportional to 8,465 and 18,553

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Solution

The third proportional to 8,465 and 18,553 is: 40,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465 : 18,553 = 18,553 : x
  2. Step 2: Convert to fraction form
    8,465/18,553 = 18,553/x
  3. Step 3: Cross multiply
    8,465x = 18,553 × 18,553
  4. Step 4: Simplify right side
    8,465x = 344,213,809
  5. Step 5: Solve for x
    x = 344,213,809/8,465
  6. Step 6: Final answer
    x = 40,663.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.