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Finding the Third Proportional to 35,584 and 52,352

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Solution

The third proportional to 35,584 and 52,352 is: 77,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584 : 52,352 = 52,352 : x
  2. Step 2: Convert to fraction form
    35,584/52,352 = 52,352/x
  3. Step 3: Cross multiply
    35,584x = 52,352 × 52,352
  4. Step 4: Simplify right side
    35,584x = 2,740,731,904
  5. Step 5: Solve for x
    x = 2,740,731,904/35,584
  6. Step 6: Final answer
    x = 77,021.47

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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.