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Finding the Third Proportional to 30,901.50 and 52,670.25

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Solution

The third proportional to 30,901.50 and 52,670.25 is: 89,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.50 : 52,670.25 = 52,670.25 : x
  2. Step 2: Convert to fraction form
    30,901.50/52,670.25 = 52,670.25/x
  3. Step 3: Cross multiply
    30,901.50x = 52,670.25 × 52,670.25
  4. Step 4: Simplify right side
    30,901.50x = 2,774,155,235.06
  5. Step 5: Solve for x
    x = 2,774,155,235.06/30,901.50
  6. Step 6: Final answer
    x = 89,774.13

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.