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Finding the Third Proportional to 47,506 and 71,574

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Solution

The third proportional to 47,506 and 71,574 is: 107,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,506 : 71,574 = 71,574 : x
  2. Step 2: Convert to fraction form
    47,506/71,574 = 71,574/x
  3. Step 3: Cross multiply
    47,506x = 71,574 × 71,574
  4. Step 4: Simplify right side
    47,506x = 5,122,837,476
  5. Step 5: Solve for x
    x = 5,122,837,476/47,506
  6. Step 6: Final answer
    x = 107,835.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.