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Finding the Third Proportional to 45,015.75 and 62,964

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Solution

The third proportional to 45,015.75 and 62,964 is: 88,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,015.75 : 62,964 = 62,964 : x
  2. Step 2: Convert to fraction form
    45,015.75/62,964 = 62,964/x
  3. Step 3: Cross multiply
    45,015.75x = 62,964 × 62,964
  4. Step 4: Simplify right side
    45,015.75x = 3,964,465,296
  5. Step 5: Solve for x
    x = 3,964,465,296/45,015.75
  6. Step 6: Final answer
    x = 88,068.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.