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Finding the Third Proportional to 21,681 and 45,063

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Solution

The third proportional to 21,681 and 45,063 is: 93,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681 : 45,063 = 45,063 : x
  2. Step 2: Convert to fraction form
    21,681/45,063 = 45,063/x
  3. Step 3: Cross multiply
    21,681x = 45,063 × 45,063
  4. Step 4: Simplify right side
    21,681x = 2,030,673,969
  5. Step 5: Solve for x
    x = 2,030,673,969/21,681
  6. Step 6: Final answer
    x = 93,661.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.