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Finding the Third Proportional to 26,345 and 46,842.25

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Solution

The third proportional to 26,345 and 46,842.25 is: 83,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,345 : 46,842.25 = 46,842.25 : x
  2. Step 2: Convert to fraction form
    26,345/46,842.25 = 46,842.25/x
  3. Step 3: Cross multiply
    26,345x = 46,842.25 × 46,842.25
  4. Step 4: Simplify right side
    26,345x = 2,194,196,385.06
  5. Step 5: Solve for x
    x = 2,194,196,385.06/26,345
  6. Step 6: Final answer
    x = 83,287.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.