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Finding the Third Proportional to 46,271 and 62,704

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Solution

The third proportional to 46,271 and 62,704 is: 84,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,271 : 62,704 = 62,704 : x
  2. Step 2: Convert to fraction form
    46,271/62,704 = 62,704/x
  3. Step 3: Cross multiply
    46,271x = 62,704 × 62,704
  4. Step 4: Simplify right side
    46,271x = 3,931,791,616
  5. Step 5: Solve for x
    x = 3,931,791,616/46,271
  6. Step 6: Final answer
    x = 84,973.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.