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Finding the Third Proportional to 21,702.94 and 47,560.50

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Solution

The third proportional to 21,702.94 and 47,560.50 is: 104,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.94 : 47,560.50 = 47,560.50 : x
  2. Step 2: Convert to fraction form
    21,702.94/47,560.50 = 47,560.50/x
  3. Step 3: Cross multiply
    21,702.94x = 47,560.50 × 47,560.50
  4. Step 4: Simplify right side
    21,702.94x = 2,262,001,160.25
  5. Step 5: Solve for x
    x = 2,262,001,160.25/21,702.94
  6. Step 6: Final answer
    x = 104,225.58

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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.