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Finding the Third Proportional to 40,875 and 61,557

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Solution

The third proportional to 40,875 and 61,557 is: 92,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,875 : 61,557 = 61,557 : x
  2. Step 2: Convert to fraction form
    40,875/61,557 = 61,557/x
  3. Step 3: Cross multiply
    40,875x = 61,557 × 61,557
  4. Step 4: Simplify right side
    40,875x = 3,789,264,249
  5. Step 5: Solve for x
    x = 3,789,264,249/40,875
  6. Step 6: Final answer
    x = 92,703.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.