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Finding the Third Proportional to 53,472 and 61,248

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Solution

The third proportional to 53,472 and 61,248 is: 70,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,472 : 61,248 = 61,248 : x
  2. Step 2: Convert to fraction form
    53,472/61,248 = 61,248/x
  3. Step 3: Cross multiply
    53,472x = 61,248 × 61,248
  4. Step 4: Simplify right side
    53,472x = 3,751,317,504
  5. Step 5: Solve for x
    x = 3,751,317,504/53,472
  6. Step 6: Final answer
    x = 70,154.80

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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.