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Finding the Third Proportional to 21,187 and 45,705.50

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Solution

The third proportional to 21,187 and 45,705.50 is: 98,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187 : 45,705.50 = 45,705.50 : x
  2. Step 2: Convert to fraction form
    21,187/45,705.50 = 45,705.50/x
  3. Step 3: Cross multiply
    21,187x = 45,705.50 × 45,705.50
  4. Step 4: Simplify right side
    21,187x = 2,088,992,730.25
  5. Step 5: Solve for x
    x = 2,088,992,730.25/21,187
  6. Step 6: Final answer
    x = 98,597.85

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