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Finding the Third Proportional to 32,159 and 49,460

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Solution

The third proportional to 32,159 and 49,460 is: 76,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159 : 49,460 = 49,460 : x
  2. Step 2: Convert to fraction form
    32,159/49,460 = 49,460/x
  3. Step 3: Cross multiply
    32,159x = 49,460 × 49,460
  4. Step 4: Simplify right side
    32,159x = 2,446,291,600
  5. Step 5: Solve for x
    x = 2,446,291,600/32,159
  6. Step 6: Final answer
    x = 76,068.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.