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Finding the Third Proportional to 30,156.75 and 65,902.50

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Solution

The third proportional to 30,156.75 and 65,902.50 is: 144,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156.75 : 65,902.50 = 65,902.50 : x
  2. Step 2: Convert to fraction form
    30,156.75/65,902.50 = 65,902.50/x
  3. Step 3: Cross multiply
    30,156.75x = 65,902.50 × 65,902.50
  4. Step 4: Simplify right side
    30,156.75x = 4,343,139,506.25
  5. Step 5: Solve for x
    x = 4,343,139,506.25/30,156.75
  6. Step 6: Final answer
    x = 144,018.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.