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Finding the Third Proportional to 10,702.13 and 23,135.63

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Solution

The third proportional to 10,702.13 and 23,135.63 is: 50,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.13 : 23,135.63 = 23,135.63 : x
  2. Step 2: Convert to fraction form
    10,702.13/23,135.63 = 23,135.63/x
  3. Step 3: Cross multiply
    10,702.13x = 23,135.63 × 23,135.63
  4. Step 4: Simplify right side
    10,702.13x = 535,257,144.14
  5. Step 5: Solve for x
    x = 535,257,144.14/10,702.13
  6. Step 6: Final answer
    x = 50,014.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.