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Finding the Third Proportional to 9,742.50 and 21,041.72

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Solution

The third proportional to 9,742.50 and 21,041.72 is: 45,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.50 : 21,041.72 = 21,041.72 : x
  2. Step 2: Convert to fraction form
    9,742.50/21,041.72 = 21,041.72/x
  3. Step 3: Cross multiply
    9,742.50x = 21,041.72 × 21,041.72
  4. Step 4: Simplify right side
    9,742.50x = 442,753,927.95
  5. Step 5: Solve for x
    x = 442,753,927.95/9,742.50
  6. Step 6: Final answer
    x = 45,445.62

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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.