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Finding the Third Proportional to 44,875 and 69,473

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Solution

The third proportional to 44,875 and 69,473 is: 107,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,875 : 69,473 = 69,473 : x
  2. Step 2: Convert to fraction form
    44,875/69,473 = 69,473/x
  3. Step 3: Cross multiply
    44,875x = 69,473 × 69,473
  4. Step 4: Simplify right side
    44,875x = 4,826,497,729
  5. Step 5: Solve for x
    x = 4,826,497,729/44,875
  6. Step 6: Final answer
    x = 107,554.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.