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Finding the Third Proportional to 53,484 and 61,260

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Solution

The third proportional to 53,484 and 61,260 is: 70,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484 : 61,260 = 61,260 : x
  2. Step 2: Convert to fraction form
    53,484/61,260 = 61,260/x
  3. Step 3: Cross multiply
    53,484x = 61,260 × 61,260
  4. Step 4: Simplify right side
    53,484x = 3,752,787,600
  5. Step 5: Solve for x
    x = 3,752,787,600/53,484
  6. Step 6: Final answer
    x = 70,166.55

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.