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Finding the Third Proportional to 15,191.30 and 22,996.84

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Solution

The third proportional to 15,191.30 and 22,996.84 is: 34,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191.30 : 22,996.84 = 22,996.84 : x
  2. Step 2: Convert to fraction form
    15,191.30/22,996.84 = 22,996.84/x
  3. Step 3: Cross multiply
    15,191.30x = 22,996.84 × 22,996.84
  4. Step 4: Simplify right side
    15,191.30x = 528,854,710.17
  5. Step 5: Solve for x
    x = 528,854,710.17/15,191.30
  6. Step 6: Final answer
    x = 34,813.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.