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Finding the Third Proportional to 10,008 and 14,415.75

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Solution

The third proportional to 10,008 and 14,415.75 is: 20,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008 : 14,415.75 = 14,415.75 : x
  2. Step 2: Convert to fraction form
    10,008/14,415.75 = 14,415.75/x
  3. Step 3: Cross multiply
    10,008x = 14,415.75 × 14,415.75
  4. Step 4: Simplify right side
    10,008x = 207,813,848.06
  5. Step 5: Solve for x
    x = 207,813,848.06/10,008
  6. Step 6: Final answer
    x = 20,764.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.