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Finding the Third Proportional to 9,302.63 and 20,275.88

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Solution

The third proportional to 9,302.63 and 20,275.88 is: 44,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.63 : 20,275.88 = 20,275.88 : x
  2. Step 2: Convert to fraction form
    9,302.63/20,275.88 = 20,275.88/x
  3. Step 3: Cross multiply
    9,302.63x = 20,275.88 × 20,275.88
  4. Step 4: Simplify right side
    9,302.63x = 411,111,107.02
  5. Step 5: Solve for x
    x = 411,111,107.02/9,302.63
  6. Step 6: Final answer
    x = 44,193.02

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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.