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Finding the Third Proportional to 29,470.50 and 60,302.63

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Solution

The third proportional to 29,470.50 and 60,302.63 is: 123,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,470.50 : 60,302.63 = 60,302.63 : x
  2. Step 2: Convert to fraction form
    29,470.50/60,302.63 = 60,302.63/x
  3. Step 3: Cross multiply
    29,470.50x = 60,302.63 × 60,302.63
  4. Step 4: Simplify right side
    29,470.50x = 3,636,406,581.89
  5. Step 5: Solve for x
    x = 3,636,406,581.89/29,470.50
  6. Step 6: Final answer
    x = 123,391.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.