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Finding the Third Proportional to 46,351 and 69,528

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Solution

The third proportional to 46,351 and 69,528 is: 104,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,351 : 69,528 = 69,528 : x
  2. Step 2: Convert to fraction form
    46,351/69,528 = 69,528/x
  3. Step 3: Cross multiply
    46,351x = 69,528 × 69,528
  4. Step 4: Simplify right side
    46,351x = 4,834,142,784
  5. Step 5: Solve for x
    x = 4,834,142,784/46,351
  6. Step 6: Final answer
    x = 104,294.25

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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.