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Finding the Third Proportional to 15,045.75 and 20,417.06

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Solution

The third proportional to 15,045.75 and 20,417.06 is: 27,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,045.75 : 20,417.06 = 20,417.06 : x
  2. Step 2: Convert to fraction form
    15,045.75/20,417.06 = 20,417.06/x
  3. Step 3: Cross multiply
    15,045.75x = 20,417.06 × 20,417.06
  4. Step 4: Simplify right side
    15,045.75x = 416,856,441.13
  5. Step 5: Solve for x
    x = 416,856,441.13/15,045.75
  6. Step 6: Final answer
    x = 27,705.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.