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Finding the Third Proportional to 46,566 and 73,737

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Solution

The third proportional to 46,566 and 73,737 is: 116,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,566 : 73,737 = 73,737 : x
  2. Step 2: Convert to fraction form
    46,566/73,737 = 73,737/x
  3. Step 3: Cross multiply
    46,566x = 73,737 × 73,737
  4. Step 4: Simplify right side
    46,566x = 5,437,145,169
  5. Step 5: Solve for x
    x = 5,437,145,169/46,566
  6. Step 6: Final answer
    x = 116,762.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.