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Finding the Third Proportional to 9,773.92 and 21,302.00

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Solution

The third proportional to 9,773.92 and 21,302.00 is: 46,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.92 : 21,302.00 = 21,302.00 : x
  2. Step 2: Convert to fraction form
    9,773.92/21,302.00 = 21,302.00/x
  3. Step 3: Cross multiply
    9,773.92x = 21,302.00 × 21,302.00
  4. Step 4: Simplify right side
    9,773.92x = 453,775,120.79
  5. Step 5: Solve for x
    x = 453,775,120.79/9,773.92
  6. Step 6: Final answer
    x = 46,427.13

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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.