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Finding the Third Proportional to 60,033 and 76,023

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Solution

The third proportional to 60,033 and 76,023 is: 96,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,033 : 76,023 = 76,023 : x
  2. Step 2: Convert to fraction form
    60,033/76,023 = 76,023/x
  3. Step 3: Cross multiply
    60,033x = 76,023 × 76,023
  4. Step 4: Simplify right side
    60,033x = 5,779,496,529
  5. Step 5: Solve for x
    x = 5,779,496,529/60,033
  6. Step 6: Final answer
    x = 96,271.99

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.