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Finding the Third Proportional to 43,026.75 and 61,970.63

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Solution

The third proportional to 43,026.75 and 61,970.63 is: 89,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,026.75 : 61,970.63 = 61,970.63 : x
  2. Step 2: Convert to fraction form
    43,026.75/61,970.63 = 61,970.63/x
  3. Step 3: Cross multiply
    43,026.75x = 61,970.63 × 61,970.63
  4. Step 4: Simplify right side
    43,026.75x = 3,840,358,362.89
  5. Step 5: Solve for x
    x = 3,840,358,362.89/43,026.75
  6. Step 6: Final answer
    x = 89,255.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.