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Finding the Third Proportional to 13,485 and 29,429

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Solution

The third proportional to 13,485 and 29,429 is: 64,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485 : 29,429 = 29,429 : x
  2. Step 2: Convert to fraction form
    13,485/29,429 = 29,429/x
  3. Step 3: Cross multiply
    13,485x = 29,429 × 29,429
  4. Step 4: Simplify right side
    13,485x = 866,066,041
  5. Step 5: Solve for x
    x = 866,066,041/13,485
  6. Step 6: Final answer
    x = 64,224.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.