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Finding the Third Proportional to 47,528 and 66,446

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Solution

The third proportional to 47,528 and 66,446 is: 92,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,528 : 66,446 = 66,446 : x
  2. Step 2: Convert to fraction form
    47,528/66,446 = 66,446/x
  3. Step 3: Cross multiply
    47,528x = 66,446 × 66,446
  4. Step 4: Simplify right side
    47,528x = 4,415,070,916
  5. Step 5: Solve for x
    x = 4,415,070,916/47,528
  6. Step 6: Final answer
    x = 92,894.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.