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Finding the Third Proportional to 6,486.75 and 9,514.50

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Solution

The third proportional to 6,486.75 and 9,514.50 is: 13,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.75 : 9,514.50 = 9,514.50 : x
  2. Step 2: Convert to fraction form
    6,486.75/9,514.50 = 9,514.50/x
  3. Step 3: Cross multiply
    6,486.75x = 9,514.50 × 9,514.50
  4. Step 4: Simplify right side
    6,486.75x = 90,525,710.25
  5. Step 5: Solve for x
    x = 90,525,710.25/6,486.75
  6. Step 6: Final answer
    x = 13,955.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.