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Finding the Third Proportional to 14,254.13 and 30,354

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Solution

The third proportional to 14,254.13 and 30,354 is: 64,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.13 : 30,354 = 30,354 : x
  2. Step 2: Convert to fraction form
    14,254.13/30,354 = 30,354/x
  3. Step 3: Cross multiply
    14,254.13x = 30,354 × 30,354
  4. Step 4: Simplify right side
    14,254.13x = 921,365,316
  5. Step 5: Solve for x
    x = 921,365,316/14,254.13
  6. Step 6: Final answer
    x = 64,638.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.