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Finding the Third Proportional to 32,434 and 48,883

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Solution

The third proportional to 32,434 and 48,883 is: 73,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434 : 48,883 = 48,883 : x
  2. Step 2: Convert to fraction form
    32,434/48,883 = 48,883/x
  3. Step 3: Cross multiply
    32,434x = 48,883 × 48,883
  4. Step 4: Simplify right side
    32,434x = 2,389,547,689
  5. Step 5: Solve for x
    x = 2,389,547,689/32,434
  6. Step 6: Final answer
    x = 73,674.16

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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.