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Finding the Third Proportional to 27,465 and 59,964

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Solution

The third proportional to 27,465 and 59,964 is: 130,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465 : 59,964 = 59,964 : x
  2. Step 2: Convert to fraction form
    27,465/59,964 = 59,964/x
  3. Step 3: Cross multiply
    27,465x = 59,964 × 59,964
  4. Step 4: Simplify right side
    27,465x = 3,595,681,296
  5. Step 5: Solve for x
    x = 3,595,681,296/27,465
  6. Step 6: Final answer
    x = 130,918.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.