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Finding the Third Proportional to 38,484 and 56,538

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Solution

The third proportional to 38,484 and 56,538 is: 83,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484 : 56,538 = 56,538 : x
  2. Step 2: Convert to fraction form
    38,484/56,538 = 56,538/x
  3. Step 3: Cross multiply
    38,484x = 56,538 × 56,538
  4. Step 4: Simplify right side
    38,484x = 3,196,545,444
  5. Step 5: Solve for x
    x = 3,196,545,444/38,484
  6. Step 6: Final answer
    x = 83,061.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.