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Finding the Third Proportional to 47,430 and 63,442

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Solution

The third proportional to 47,430 and 63,442 is: 84,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,430 : 63,442 = 63,442 : x
  2. Step 2: Convert to fraction form
    47,430/63,442 = 63,442/x
  3. Step 3: Cross multiply
    47,430x = 63,442 × 63,442
  4. Step 4: Simplify right side
    47,430x = 4,024,887,364
  5. Step 5: Solve for x
    x = 4,024,887,364/47,430
  6. Step 6: Final answer
    x = 84,859.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.