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Finding the Third Proportional to 9,724 and 14,584

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Solution

The third proportional to 9,724 and 14,584 is: 21,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 14,584 = 14,584 : x
  2. Step 2: Convert to fraction form
    9,724/14,584 = 14,584/x
  3. Step 3: Cross multiply
    9,724x = 14,584 × 14,584
  4. Step 4: Simplify right side
    9,724x = 212,693,056
  5. Step 5: Solve for x
    x = 212,693,056/9,724
  6. Step 6: Final answer
    x = 21,873.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.