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Finding the Third Proportional to 30,814 and 47,528

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Solution

The third proportional to 30,814 and 47,528 is: 73,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814 : 47,528 = 47,528 : x
  2. Step 2: Convert to fraction form
    30,814/47,528 = 47,528/x
  3. Step 3: Cross multiply
    30,814x = 47,528 × 47,528
  4. Step 4: Simplify right side
    30,814x = 2,258,910,784
  5. Step 5: Solve for x
    x = 2,258,910,784/30,814
  6. Step 6: Final answer
    x = 73,307.94

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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.