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Finding the Third Proportional to 13,584 and 29,152

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Solution

The third proportional to 13,584 and 29,152 is: 62,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584 : 29,152 = 29,152 : x
  2. Step 2: Convert to fraction form
    13,584/29,152 = 29,152/x
  3. Step 3: Cross multiply
    13,584x = 29,152 × 29,152
  4. Step 4: Simplify right side
    13,584x = 849,839,104
  5. Step 5: Solve for x
    x = 849,839,104/13,584
  6. Step 6: Final answer
    x = 62,561.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.