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Finding the Third Proportional to 30,691 and 67,237.50

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Solution

The third proportional to 30,691 and 67,237.50 is: 147,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691 : 67,237.50 = 67,237.50 : x
  2. Step 2: Convert to fraction form
    30,691/67,237.50 = 67,237.50/x
  3. Step 3: Cross multiply
    30,691x = 67,237.50 × 67,237.50
  4. Step 4: Simplify right side
    30,691x = 4,520,881,406.25
  5. Step 5: Solve for x
    x = 4,520,881,406.25/30,691
  6. Step 6: Final answer
    x = 147,303.16

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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.