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Finding the Third Proportional to 14,584 and 27,332

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Solution

The third proportional to 14,584 and 27,332 is: 51,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584 : 27,332 = 27,332 : x
  2. Step 2: Convert to fraction form
    14,584/27,332 = 27,332/x
  3. Step 3: Cross multiply
    14,584x = 27,332 × 27,332
  4. Step 4: Simplify right side
    14,584x = 747,038,224
  5. Step 5: Solve for x
    x = 747,038,224/14,584
  6. Step 6: Final answer
    x = 51,223.14

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.