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Finding the Third Proportional to 29,763 and 39,677.63

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Solution

The third proportional to 29,763 and 39,677.63 is: 52,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,763 : 39,677.63 = 39,677.63 : x
  2. Step 2: Convert to fraction form
    29,763/39,677.63 = 39,677.63/x
  3. Step 3: Cross multiply
    29,763x = 39,677.63 × 39,677.63
  4. Step 4: Simplify right side
    29,763x = 1,574,313,925.64
  5. Step 5: Solve for x
    x = 1,574,313,925.64/29,763
  6. Step 6: Final answer
    x = 52,895.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.