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Finding the Third Proportional to 15,048.75 and 17,782.50

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Solution

The third proportional to 15,048.75 and 17,782.50 is: 21,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,048.75 : 17,782.50 = 17,782.50 : x
  2. Step 2: Convert to fraction form
    15,048.75/17,782.50 = 17,782.50/x
  3. Step 3: Cross multiply
    15,048.75x = 17,782.50 × 17,782.50
  4. Step 4: Simplify right side
    15,048.75x = 316,217,306.25
  5. Step 5: Solve for x
    x = 316,217,306.25/15,048.75
  6. Step 6: Final answer
    x = 21,012.86

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.