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Finding the Third Proportional to 11,457 and 16,402.50

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Solution

The third proportional to 11,457 and 16,402.50 is: 23,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457 : 16,402.50 = 16,402.50 : x
  2. Step 2: Convert to fraction form
    11,457/16,402.50 = 16,402.50/x
  3. Step 3: Cross multiply
    11,457x = 16,402.50 × 16,402.50
  4. Step 4: Simplify right side
    11,457x = 269,042,006.25
  5. Step 5: Solve for x
    x = 269,042,006.25/11,457
  6. Step 6: Final answer
    x = 23,482.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.