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Finding the Third Proportional to 5,046 and 9,962.25

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Solution

The third proportional to 5,046 and 9,962.25 is: 19,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046 : 9,962.25 = 9,962.25 : x
  2. Step 2: Convert to fraction form
    5,046/9,962.25 = 9,962.25/x
  3. Step 3: Cross multiply
    5,046x = 9,962.25 × 9,962.25
  4. Step 4: Simplify right side
    5,046x = 99,246,425.06
  5. Step 5: Solve for x
    x = 99,246,425.06/5,046
  6. Step 6: Final answer
    x = 19,668.34

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.