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Finding the Third Proportional to 43,335 and 64,341

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Solution

The third proportional to 43,335 and 64,341 is: 95,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,335 : 64,341 = 64,341 : x
  2. Step 2: Convert to fraction form
    43,335/64,341 = 64,341/x
  3. Step 3: Cross multiply
    43,335x = 64,341 × 64,341
  4. Step 4: Simplify right side
    43,335x = 4,139,764,281
  5. Step 5: Solve for x
    x = 4,139,764,281/43,335
  6. Step 6: Final answer
    x = 95,529.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.