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Finding the Third Proportional to 33,931.13 and 45,688.50

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Solution

The third proportional to 33,931.13 and 45,688.50 is: 61,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,931.13 : 45,688.50 = 45,688.50 : x
  2. Step 2: Convert to fraction form
    33,931.13/45,688.50 = 45,688.50/x
  3. Step 3: Cross multiply
    33,931.13x = 45,688.50 × 45,688.50
  4. Step 4: Simplify right side
    33,931.13x = 2,087,439,032.25
  5. Step 5: Solve for x
    x = 2,087,439,032.25/33,931.13
  6. Step 6: Final answer
    x = 61,519.89

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.