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Finding the Third Proportional to 15,998.84 and 23,420.01

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Solution

The third proportional to 15,998.84 and 23,420.01 is: 34,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.84 : 23,420.01 = 23,420.01 : x
  2. Step 2: Convert to fraction form
    15,998.84/23,420.01 = 23,420.01/x
  3. Step 3: Cross multiply
    15,998.84x = 23,420.01 × 23,420.01
  4. Step 4: Simplify right side
    15,998.84x = 548,497,097.57
  5. Step 5: Solve for x
    x = 548,497,097.57/15,998.84
  6. Step 6: Final answer
    x = 34,283.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.