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Finding the Third Proportional to 30,159 and 45,862.50

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Solution

The third proportional to 30,159 and 45,862.50 is: 69,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159 : 45,862.50 = 45,862.50 : x
  2. Step 2: Convert to fraction form
    30,159/45,862.50 = 45,862.50/x
  3. Step 3: Cross multiply
    30,159x = 45,862.50 × 45,862.50
  4. Step 4: Simplify right side
    30,159x = 2,103,368,906.25
  5. Step 5: Solve for x
    x = 2,103,368,906.25/30,159
  6. Step 6: Final answer
    x = 69,742.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.