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Finding the Third Proportional to 9,681 and 15,405

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Solution

The third proportional to 9,681 and 15,405 is: 24,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681 : 15,405 = 15,405 : x
  2. Step 2: Convert to fraction form
    9,681/15,405 = 15,405/x
  3. Step 3: Cross multiply
    9,681x = 15,405 × 15,405
  4. Step 4: Simplify right side
    9,681x = 237,314,025
  5. Step 5: Solve for x
    x = 237,314,025/9,681
  6. Step 6: Final answer
    x = 24,513.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.