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Finding the Third Proportional to 46,730 and 73,442

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Solution

The third proportional to 46,730 and 73,442 is: 115,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,730 : 73,442 = 73,442 : x
  2. Step 2: Convert to fraction form
    46,730/73,442 = 73,442/x
  3. Step 3: Cross multiply
    46,730x = 73,442 × 73,442
  4. Step 4: Simplify right side
    46,730x = 5,393,727,364
  5. Step 5: Solve for x
    x = 5,393,727,364/46,730
  6. Step 6: Final answer
    x = 115,423.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.