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Finding the Third Proportional to 9,654 and 21,066

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Solution

The third proportional to 9,654 and 21,066 is: 45,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654 : 21,066 = 21,066 : x
  2. Step 2: Convert to fraction form
    9,654/21,066 = 21,066/x
  3. Step 3: Cross multiply
    9,654x = 21,066 × 21,066
  4. Step 4: Simplify right side
    9,654x = 443,776,356
  5. Step 5: Solve for x
    x = 443,776,356/9,654
  6. Step 6: Final answer
    x = 45,968.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.