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Finding the Third Proportional to 10,693.90 and 16,271.51

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Solution

The third proportional to 10,693.90 and 16,271.51 is: 24,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.90 : 16,271.51 = 16,271.51 : x
  2. Step 2: Convert to fraction form
    10,693.90/16,271.51 = 16,271.51/x
  3. Step 3: Cross multiply
    10,693.90x = 16,271.51 × 16,271.51
  4. Step 4: Simplify right side
    10,693.90x = 264,761,966.49
  5. Step 5: Solve for x
    x = 264,761,966.49/10,693.90
  6. Step 6: Final answer
    x = 24,758.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.