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Finding the Third Proportional to 15,664 and 23,784

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Solution

The third proportional to 15,664 and 23,784 is: 36,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664 : 23,784 = 23,784 : x
  2. Step 2: Convert to fraction form
    15,664/23,784 = 23,784/x
  3. Step 3: Cross multiply
    15,664x = 23,784 × 23,784
  4. Step 4: Simplify right side
    15,664x = 565,678,656
  5. Step 5: Solve for x
    x = 565,678,656/15,664
  6. Step 6: Final answer
    x = 36,113.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.