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Finding the Third Proportional to 32,346 and 49,959

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Solution

The third proportional to 32,346 and 49,959 is: 77,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346 : 49,959 = 49,959 : x
  2. Step 2: Convert to fraction form
    32,346/49,959 = 49,959/x
  3. Step 3: Cross multiply
    32,346x = 49,959 × 49,959
  4. Step 4: Simplify right side
    32,346x = 2,495,901,681
  5. Step 5: Solve for x
    x = 2,495,901,681/32,346
  6. Step 6: Final answer
    x = 77,162.61

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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.