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Finding the Third Proportional to 32,534 and 48,526

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Solution

The third proportional to 32,534 and 48,526 is: 72,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534 : 48,526 = 48,526 : x
  2. Step 2: Convert to fraction form
    32,534/48,526 = 48,526/x
  3. Step 3: Cross multiply
    32,534x = 48,526 × 48,526
  4. Step 4: Simplify right side
    32,534x = 2,354,772,676
  5. Step 5: Solve for x
    x = 2,354,772,676/32,534
  6. Step 6: Final answer
    x = 72,378.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.