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Finding the Third Proportional to 19,702.50 and 42,807

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Solution

The third proportional to 19,702.50 and 42,807 is: 93,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.50 : 42,807 = 42,807 : x
  2. Step 2: Convert to fraction form
    19,702.50/42,807 = 42,807/x
  3. Step 3: Cross multiply
    19,702.50x = 42,807 × 42,807
  4. Step 4: Simplify right side
    19,702.50x = 1,832,439,249
  5. Step 5: Solve for x
    x = 1,832,439,249/19,702.50
  6. Step 6: Final answer
    x = 93,005.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.