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Finding the Third Proportional to 32,770 and 49,426

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Solution

The third proportional to 32,770 and 49,426 is: 74,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770 : 49,426 = 49,426 : x
  2. Step 2: Convert to fraction form
    32,770/49,426 = 49,426/x
  3. Step 3: Cross multiply
    32,770x = 49,426 × 49,426
  4. Step 4: Simplify right side
    32,770x = 2,442,929,476
  5. Step 5: Solve for x
    x = 2,442,929,476/32,770
  6. Step 6: Final answer
    x = 74,547.74

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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.