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Finding the Third Proportional to 15,041.25 and 17,228.25

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Solution

The third proportional to 15,041.25 and 17,228.25 is: 19,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,041.25 : 17,228.25 = 17,228.25 : x
  2. Step 2: Convert to fraction form
    15,041.25/17,228.25 = 17,228.25/x
  3. Step 3: Cross multiply
    15,041.25x = 17,228.25 × 17,228.25
  4. Step 4: Simplify right side
    15,041.25x = 296,812,598.06
  5. Step 5: Solve for x
    x = 296,812,598.06/15,041.25
  6. Step 6: Final answer
    x = 19,733.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.