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Finding the Third Proportional to 14,569.50 and 30,369

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Solution

The third proportional to 14,569.50 and 30,369 is: 63,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.50 : 30,369 = 30,369 : x
  2. Step 2: Convert to fraction form
    14,569.50/30,369 = 30,369/x
  3. Step 3: Cross multiply
    14,569.50x = 30,369 × 30,369
  4. Step 4: Simplify right side
    14,569.50x = 922,276,161
  5. Step 5: Solve for x
    x = 922,276,161/14,569.50
  6. Step 6: Final answer
    x = 63,301.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.