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Finding the Third Proportional to 15,290.49 and 21,532.55

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Solution

The third proportional to 15,290.49 and 21,532.55 is: 30,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,290.49 : 21,532.55 = 21,532.55 : x
  2. Step 2: Convert to fraction form
    15,290.49/21,532.55 = 21,532.55/x
  3. Step 3: Cross multiply
    15,290.49x = 21,532.55 × 21,532.55
  4. Step 4: Simplify right side
    15,290.49x = 463,650,827.26
  5. Step 5: Solve for x
    x = 463,650,827.26/15,290.49
  6. Step 6: Final answer
    x = 30,322.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.