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Finding the Third Proportional to 13,074 and 16,776

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Solution

The third proportional to 13,074 and 16,776 is: 21,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074 : 16,776 = 16,776 : x
  2. Step 2: Convert to fraction form
    13,074/16,776 = 16,776/x
  3. Step 3: Cross multiply
    13,074x = 16,776 × 16,776
  4. Step 4: Simplify right side
    13,074x = 281,434,176
  5. Step 5: Solve for x
    x = 281,434,176/13,074
  6. Step 6: Final answer
    x = 21,526.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.