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Finding the Third Proportional to 21,702.38 and 47,566.13

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Solution

The third proportional to 21,702.38 and 47,566.13 is: 104,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.38 : 47,566.13 = 47,566.13 : x
  2. Step 2: Convert to fraction form
    21,702.38/47,566.13 = 47,566.13/x
  3. Step 3: Cross multiply
    21,702.38x = 47,566.13 × 47,566.13
  4. Step 4: Simplify right side
    21,702.38x = 2,262,536,247.52
  5. Step 5: Solve for x
    x = 2,262,536,247.52/21,702.38
  6. Step 6: Final answer
    x = 104,252.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.