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Finding the Third Proportional to 35,113.50 and 56,031.75

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Solution

The third proportional to 35,113.50 and 56,031.75 is: 89,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,113.50 : 56,031.75 = 56,031.75 : x
  2. Step 2: Convert to fraction form
    35,113.50/56,031.75 = 56,031.75/x
  3. Step 3: Cross multiply
    35,113.50x = 56,031.75 × 56,031.75
  4. Step 4: Simplify right side
    35,113.50x = 3,139,557,008.06
  5. Step 5: Solve for x
    x = 3,139,557,008.06/35,113.50
  6. Step 6: Final answer
    x = 89,411.68

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.