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Finding the Third Proportional to 30,701.50 and 45,862.13

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Solution

The third proportional to 30,701.50 and 45,862.13 is: 68,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.50 : 45,862.13 = 45,862.13 : x
  2. Step 2: Convert to fraction form
    30,701.50/45,862.13 = 45,862.13/x
  3. Step 3: Cross multiply
    30,701.50x = 45,862.13 × 45,862.13
  4. Step 4: Simplify right side
    30,701.50x = 2,103,334,509.52
  5. Step 5: Solve for x
    x = 2,103,334,509.52/30,701.50
  6. Step 6: Final answer
    x = 68,509.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.