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Finding the Third Proportional to 9,925.98 and 21,290.03

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Solution

The third proportional to 9,925.98 and 21,290.03 is: 45,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.98 : 21,290.03 = 21,290.03 : x
  2. Step 2: Convert to fraction form
    9,925.98/21,290.03 = 21,290.03/x
  3. Step 3: Cross multiply
    9,925.98x = 21,290.03 × 21,290.03
  4. Step 4: Simplify right side
    9,925.98x = 453,265,264.30
  5. Step 5: Solve for x
    x = 453,265,264.30/9,925.98
  6. Step 6: Final answer
    x = 45,664.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.