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Finding the Third Proportional to 9,973.13 and 16,068.38

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Solution

The third proportional to 9,973.13 and 16,068.38 is: 25,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.13 : 16,068.38 = 16,068.38 : x
  2. Step 2: Convert to fraction form
    9,973.13/16,068.38 = 16,068.38/x
  3. Step 3: Cross multiply
    9,973.13x = 16,068.38 × 16,068.38
  4. Step 4: Simplify right side
    9,973.13x = 258,192,675.14
  5. Step 5: Solve for x
    x = 258,192,675.14/9,973.13
  6. Step 6: Final answer
    x = 25,888.84

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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.