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Finding the Third Proportional to 16,457 and 26,501

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Solution

The third proportional to 16,457 and 26,501 is: 42,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457 : 26,501 = 26,501 : x
  2. Step 2: Convert to fraction form
    16,457/26,501 = 26,501/x
  3. Step 3: Cross multiply
    16,457x = 26,501 × 26,501
  4. Step 4: Simplify right side
    16,457x = 702,303,001
  5. Step 5: Solve for x
    x = 702,303,001/16,457
  6. Step 6: Final answer
    x = 42,675.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.