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Finding the Third Proportional to 14,584 and 19,708

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Solution

The third proportional to 14,584 and 19,708 is: 26,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584 : 19,708 = 19,708 : x
  2. Step 2: Convert to fraction form
    14,584/19,708 = 19,708/x
  3. Step 3: Cross multiply
    14,584x = 19,708 × 19,708
  4. Step 4: Simplify right side
    14,584x = 388,405,264
  5. Step 5: Solve for x
    x = 388,405,264/14,584
  6. Step 6: Final answer
    x = 26,632.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.