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Finding the Third Proportional to 46,332 and 69,516

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Solution

The third proportional to 46,332 and 69,516 is: 104,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,332 : 69,516 = 69,516 : x
  2. Step 2: Convert to fraction form
    46,332/69,516 = 69,516/x
  3. Step 3: Cross multiply
    46,332x = 69,516 × 69,516
  4. Step 4: Simplify right side
    46,332x = 4,832,474,256
  5. Step 5: Solve for x
    x = 4,832,474,256/46,332
  6. Step 6: Final answer
    x = 104,301.01

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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.