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Finding the Third Proportional to 57,009.13 and 89,428.88

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Solution

The third proportional to 57,009.13 and 89,428.88 is: 140,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.13 : 89,428.88 = 89,428.88 : x
  2. Step 2: Convert to fraction form
    57,009.13/89,428.88 = 89,428.88/x
  3. Step 3: Cross multiply
    57,009.13x = 89,428.88 × 89,428.88
  4. Step 4: Simplify right side
    57,009.13x = 7,997,523,683.77
  5. Step 5: Solve for x
    x = 7,997,523,683.77/57,009.13
  6. Step 6: Final answer
    x = 140,284.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.