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Finding the Third Proportional to 22,510.13 and 47,713.50

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Solution

The third proportional to 22,510.13 and 47,713.50 is: 101,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.13 : 47,713.50 = 47,713.50 : x
  2. Step 2: Convert to fraction form
    22,510.13/47,713.50 = 47,713.50/x
  3. Step 3: Cross multiply
    22,510.13x = 47,713.50 × 47,713.50
  4. Step 4: Simplify right side
    22,510.13x = 2,276,578,082.25
  5. Step 5: Solve for x
    x = 2,276,578,082.25/22,510.13
  6. Step 6: Final answer
    x = 101,135.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.