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Finding the Third Proportional to 16,752 and 26,050

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Solution

The third proportional to 16,752 and 26,050 is: 40,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,752 : 26,050 = 26,050 : x
  2. Step 2: Convert to fraction form
    16,752/26,050 = 26,050/x
  3. Step 3: Cross multiply
    16,752x = 26,050 × 26,050
  4. Step 4: Simplify right side
    16,752x = 678,602,500
  5. Step 5: Solve for x
    x = 678,602,500/16,752
  6. Step 6: Final answer
    x = 40,508.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.