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Finding the Third Proportional to 25,020 and 38,362

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Solution

The third proportional to 25,020 and 38,362 is: 58,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,020 : 38,362 = 38,362 : x
  2. Step 2: Convert to fraction form
    25,020/38,362 = 38,362/x
  3. Step 3: Cross multiply
    25,020x = 38,362 × 38,362
  4. Step 4: Simplify right side
    25,020x = 1,471,643,044
  5. Step 5: Solve for x
    x = 1,471,643,044/25,020
  6. Step 6: Final answer
    x = 58,818.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.