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Finding the Third Proportional to 43,026 and 64,557

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Solution

The third proportional to 43,026 and 64,557 is: 96,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,026 : 64,557 = 64,557 : x
  2. Step 2: Convert to fraction form
    43,026/64,557 = 64,557/x
  3. Step 3: Cross multiply
    43,026x = 64,557 × 64,557
  4. Step 4: Simplify right side
    43,026x = 4,167,606,249
  5. Step 5: Solve for x
    x = 4,167,606,249/43,026
  6. Step 6: Final answer
    x = 96,862.51

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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.