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Finding the Third Proportional to 9,973 and 21,597

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Solution

The third proportional to 9,973 and 21,597 is: 46,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973 : 21,597 = 21,597 : x
  2. Step 2: Convert to fraction form
    9,973/21,597 = 21,597/x
  3. Step 3: Cross multiply
    9,973x = 21,597 × 21,597
  4. Step 4: Simplify right side
    9,973x = 466,430,409
  5. Step 5: Solve for x
    x = 466,430,409/9,973
  6. Step 6: Final answer
    x = 46,769.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.