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Finding the Third Proportional to 52,047.56 and 79,461

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Solution

The third proportional to 52,047.56 and 79,461 is: 121,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.56 : 79,461 = 79,461 : x
  2. Step 2: Convert to fraction form
    52,047.56/79,461 = 79,461/x
  3. Step 3: Cross multiply
    52,047.56x = 79,461 × 79,461
  4. Step 4: Simplify right side
    52,047.56x = 6,314,050,521
  5. Step 5: Solve for x
    x = 6,314,050,521/52,047.56
  6. Step 6: Final answer
    x = 121,313.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.