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Finding the Third Proportional to 35,273 and 53,557

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Solution

The third proportional to 35,273 and 53,557 is: 81,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,273 : 53,557 = 53,557 : x
  2. Step 2: Convert to fraction form
    35,273/53,557 = 53,557/x
  3. Step 3: Cross multiply
    35,273x = 53,557 × 53,557
  4. Step 4: Simplify right side
    35,273x = 2,868,352,249
  5. Step 5: Solve for x
    x = 2,868,352,249/35,273
  6. Step 6: Final answer
    x = 81,318.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.