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Finding the Third Proportional to 8,749.50 and 12,987.75

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Solution

The third proportional to 8,749.50 and 12,987.75 is: 19,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.50 : 12,987.75 = 12,987.75 : x
  2. Step 2: Convert to fraction form
    8,749.50/12,987.75 = 12,987.75/x
  3. Step 3: Cross multiply
    8,749.50x = 12,987.75 × 12,987.75
  4. Step 4: Simplify right side
    8,749.50x = 168,681,650.06
  5. Step 5: Solve for x
    x = 168,681,650.06/8,749.50
  6. Step 6: Final answer
    x = 19,279.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.