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Finding the Third Proportional to 43,242 and 64,595

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Solution

The third proportional to 43,242 and 64,595 is: 96,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,242 : 64,595 = 64,595 : x
  2. Step 2: Convert to fraction form
    43,242/64,595 = 64,595/x
  3. Step 3: Cross multiply
    43,242x = 64,595 × 64,595
  4. Step 4: Simplify right side
    43,242x = 4,172,514,025
  5. Step 5: Solve for x
    x = 4,172,514,025/43,242
  6. Step 6: Final answer
    x = 96,492.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.