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Finding the Third Proportional to 43,046.95 and 64,613.68

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Solution

The third proportional to 43,046.95 and 64,613.68 is: 96,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,046.95 : 64,613.68 = 64,613.68 : x
  2. Step 2: Convert to fraction form
    43,046.95/64,613.68 = 64,613.68/x
  3. Step 3: Cross multiply
    43,046.95x = 64,613.68 × 64,613.68
  4. Step 4: Simplify right side
    43,046.95x = 4,174,927,161.06
  5. Step 5: Solve for x
    x = 4,174,927,161.06/43,046.95
  6. Step 6: Final answer
    x = 96,985.43

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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.