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Finding the Third Proportional to 34,490 and 64,057

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Solution

The third proportional to 34,490 and 64,057 is: 118,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,490 : 64,057 = 64,057 : x
  2. Step 2: Convert to fraction form
    34,490/64,057 = 64,057/x
  3. Step 3: Cross multiply
    34,490x = 64,057 × 64,057
  4. Step 4: Simplify right side
    34,490x = 4,103,299,249
  5. Step 5: Solve for x
    x = 4,103,299,249/34,490
  6. Step 6: Final answer
    x = 118,970.69

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.