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Finding the Third Proportional to 28,044 and 65,522

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Solution

The third proportional to 28,044 and 65,522 is: 153,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,044 : 65,522 = 65,522 : x
  2. Step 2: Convert to fraction form
    28,044/65,522 = 65,522/x
  3. Step 3: Cross multiply
    28,044x = 65,522 × 65,522
  4. Step 4: Simplify right side
    28,044x = 4,293,132,484
  5. Step 5: Solve for x
    x = 4,293,132,484/28,044
  6. Step 6: Final answer
    x = 153,085.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.