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Finding the Third Proportional to 14,415 and 19,553

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Solution

The third proportional to 14,415 and 19,553 is: 26,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415 : 19,553 = 19,553 : x
  2. Step 2: Convert to fraction form
    14,415/19,553 = 19,553/x
  3. Step 3: Cross multiply
    14,415x = 19,553 × 19,553
  4. Step 4: Simplify right side
    14,415x = 382,319,809
  5. Step 5: Solve for x
    x = 382,319,809/14,415
  6. Step 6: Final answer
    x = 26,522.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.