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Finding the Third Proportional to 35,569.13 and 56,011.50

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Solution

The third proportional to 35,569.13 and 56,011.50 is: 88,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,569.13 : 56,011.50 = 56,011.50 : x
  2. Step 2: Convert to fraction form
    35,569.13/56,011.50 = 56,011.50/x
  3. Step 3: Cross multiply
    35,569.13x = 56,011.50 × 56,011.50
  4. Step 4: Simplify right side
    35,569.13x = 3,137,288,132.25
  5. Step 5: Solve for x
    x = 3,137,288,132.25/35,569.13
  6. Step 6: Final answer
    x = 88,202.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.