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Finding the Third Proportional to 38,318 and 57,528

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Solution

The third proportional to 38,318 and 57,528 is: 86,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,318 : 57,528 = 57,528 : x
  2. Step 2: Convert to fraction form
    38,318/57,528 = 57,528/x
  3. Step 3: Cross multiply
    38,318x = 57,528 × 57,528
  4. Step 4: Simplify right side
    38,318x = 3,309,470,784
  5. Step 5: Solve for x
    x = 3,309,470,784/38,318
  6. Step 6: Final answer
    x = 86,368.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.