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Finding the Third Proportional to 14,419 and 21,294.50

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Solution

The third proportional to 14,419 and 21,294.50 is: 31,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419 : 21,294.50 = 21,294.50 : x
  2. Step 2: Convert to fraction form
    14,419/21,294.50 = 21,294.50/x
  3. Step 3: Cross multiply
    14,419x = 21,294.50 × 21,294.50
  4. Step 4: Simplify right side
    14,419x = 453,455,730.25
  5. Step 5: Solve for x
    x = 453,455,730.25/14,419
  6. Step 6: Final answer
    x = 31,448.49

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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.