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Finding the Third Proportional to 9,830 and 14,457

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Solution

The third proportional to 9,830 and 14,457 is: 21,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830 : 14,457 = 14,457 : x
  2. Step 2: Convert to fraction form
    9,830/14,457 = 14,457/x
  3. Step 3: Cross multiply
    9,830x = 14,457 × 14,457
  4. Step 4: Simplify right side
    9,830x = 209,004,849
  5. Step 5: Solve for x
    x = 209,004,849/9,830
  6. Step 6: Final answer
    x = 21,261.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.