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Finding the Third Proportional to 9,875.67 and 21,570.05

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Solution

The third proportional to 9,875.67 and 21,570.05 is: 47,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.67 : 21,570.05 = 21,570.05 : x
  2. Step 2: Convert to fraction form
    9,875.67/21,570.05 = 21,570.05/x
  3. Step 3: Cross multiply
    9,875.67x = 21,570.05 × 21,570.05
  4. Step 4: Simplify right side
    9,875.67x = 465,266,922.19
  5. Step 5: Solve for x
    x = 465,266,922.19/9,875.67
  6. Step 6: Final answer
    x = 47,112.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.