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Finding the Third Proportional to 46,618.66 and 71,697.66

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Solution

The third proportional to 46,618.66 and 71,697.66 is: 110,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,618.66 : 71,697.66 = 71,697.66 : x
  2. Step 2: Convert to fraction form
    46,618.66/71,697.66 = 71,697.66/x
  3. Step 3: Cross multiply
    46,618.66x = 71,697.66 × 71,697.66
  4. Step 4: Simplify right side
    46,618.66x = 5,140,553,911.74
  5. Step 5: Solve for x
    x = 5,140,553,911.74/46,618.66
  6. Step 6: Final answer
    x = 110,268.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.