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Finding the Third Proportional to 31,563 and 47,426

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Solution

The third proportional to 31,563 and 47,426 is: 71,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563 : 47,426 = 47,426 : x
  2. Step 2: Convert to fraction form
    31,563/47,426 = 47,426/x
  3. Step 3: Cross multiply
    31,563x = 47,426 × 47,426
  4. Step 4: Simplify right side
    31,563x = 2,249,225,476
  5. Step 5: Solve for x
    x = 2,249,225,476/31,563
  6. Step 6: Final answer
    x = 71,261.46

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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.