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Finding the Third Proportional to 16,748 and 25,921

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Solution

The third proportional to 16,748 and 25,921 is: 40,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,748 : 25,921 = 25,921 : x
  2. Step 2: Convert to fraction form
    16,748/25,921 = 25,921/x
  3. Step 3: Cross multiply
    16,748x = 25,921 × 25,921
  4. Step 4: Simplify right side
    16,748x = 671,898,241
  5. Step 5: Solve for x
    x = 671,898,241/16,748
  6. Step 6: Final answer
    x = 40,118.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.