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Finding the Third Proportional to 43,045.59 and 67,869.67

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Solution

The third proportional to 43,045.59 and 67,869.67 is: 107,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,045.59 : 67,869.67 = 67,869.67 : x
  2. Step 2: Convert to fraction form
    43,045.59/67,869.67 = 67,869.67/x
  3. Step 3: Cross multiply
    43,045.59x = 67,869.67 × 67,869.67
  4. Step 4: Simplify right side
    43,045.59x = 4,606,291,830.19
  5. Step 5: Solve for x
    x = 4,606,291,830.19/43,045.59
  6. Step 6: Final answer
    x = 107,009.60

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.