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Finding the Third Proportional to 14,229 and 18,985.50

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Solution

The third proportional to 14,229 and 18,985.50 is: 25,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229 : 18,985.50 = 18,985.50 : x
  2. Step 2: Convert to fraction form
    14,229/18,985.50 = 18,985.50/x
  3. Step 3: Cross multiply
    14,229x = 18,985.50 × 18,985.50
  4. Step 4: Simplify right side
    14,229x = 360,449,210.25
  5. Step 5: Solve for x
    x = 360,449,210.25/14,229
  6. Step 6: Final answer
    x = 25,332.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.