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Finding the Third Proportional to 19,414.13 and 30,624.75

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Solution

The third proportional to 19,414.13 and 30,624.75 is: 48,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.13 : 30,624.75 = 30,624.75 : x
  2. Step 2: Convert to fraction form
    19,414.13/30,624.75 = 30,624.75/x
  3. Step 3: Cross multiply
    19,414.13x = 30,624.75 × 30,624.75
  4. Step 4: Simplify right side
    19,414.13x = 937,875,312.56
  5. Step 5: Solve for x
    x = 937,875,312.56/19,414.13
  6. Step 6: Final answer
    x = 48,308.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.