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Finding the Third Proportional to 30,688.50 and 45,060

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Solution

The third proportional to 30,688.50 and 45,060 is: 66,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688.50 : 45,060 = 45,060 : x
  2. Step 2: Convert to fraction form
    30,688.50/45,060 = 45,060/x
  3. Step 3: Cross multiply
    30,688.50x = 45,060 × 45,060
  4. Step 4: Simplify right side
    30,688.50x = 2,030,403,600
  5. Step 5: Solve for x
    x = 2,030,403,600/30,688.50
  6. Step 6: Final answer
    x = 66,161.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.