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Finding the Third Proportional to 9,875.67 and 21,750.40

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Solution

The third proportional to 9,875.67 and 21,750.40 is: 47,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.67 : 21,750.40 = 21,750.40 : x
  2. Step 2: Convert to fraction form
    9,875.67/21,750.40 = 21,750.40/x
  3. Step 3: Cross multiply
    9,875.67x = 21,750.40 × 21,750.40
  4. Step 4: Simplify right side
    9,875.67x = 473,079,832.19
  5. Step 5: Solve for x
    x = 473,079,832.19/9,875.67
  6. Step 6: Final answer
    x = 47,903.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.