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Finding the Third Proportional to 39,523.06 and 60,742.63

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Solution

The third proportional to 39,523.06 and 60,742.63 is: 93,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,523.06 : 60,742.63 = 60,742.63 : x
  2. Step 2: Convert to fraction form
    39,523.06/60,742.63 = 60,742.63/x
  3. Step 3: Cross multiply
    39,523.06x = 60,742.63 × 60,742.63
  4. Step 4: Simplify right side
    39,523.06x = 3,689,666,491.89
  5. Step 5: Solve for x
    x = 3,689,666,491.89/39,523.06
  6. Step 6: Final answer
    x = 93,354.77

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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.