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Finding the Third Proportional to 30,260 and 64,892

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Solution

The third proportional to 30,260 and 64,892 is: 139,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,260 : 64,892 = 64,892 : x
  2. Step 2: Convert to fraction form
    30,260/64,892 = 64,892/x
  3. Step 3: Cross multiply
    30,260x = 64,892 × 64,892
  4. Step 4: Simplify right side
    30,260x = 4,210,971,664
  5. Step 5: Solve for x
    x = 4,210,971,664/30,260
  6. Step 6: Final answer
    x = 139,159.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.