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Finding the Third Proportional to 10,335.09 and 22,302.84

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Solution

The third proportional to 10,335.09 and 22,302.84 is: 48,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.09 : 22,302.84 = 22,302.84 : x
  2. Step 2: Convert to fraction form
    10,335.09/22,302.84 = 22,302.84/x
  3. Step 3: Cross multiply
    10,335.09x = 22,302.84 × 22,302.84
  4. Step 4: Simplify right side
    10,335.09x = 497,416,839.34
  5. Step 5: Solve for x
    x = 497,416,839.34/10,335.09
  6. Step 6: Final answer
    x = 48,128.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.