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Finding the Third Proportional to 32,470 and 49,057

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Solution

The third proportional to 32,470 and 49,057 is: 74,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470 : 49,057 = 49,057 : x
  2. Step 2: Convert to fraction form
    32,470/49,057 = 49,057/x
  3. Step 3: Cross multiply
    32,470x = 49,057 × 49,057
  4. Step 4: Simplify right side
    32,470x = 2,406,589,249
  5. Step 5: Solve for x
    x = 2,406,589,249/32,470
  6. Step 6: Final answer
    x = 74,117.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.