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Finding the Third Proportional to 48,656 and 53,776

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Solution

The third proportional to 48,656 and 53,776 is: 59,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656 : 53,776 = 53,776 : x
  2. Step 2: Convert to fraction form
    48,656/53,776 = 53,776/x
  3. Step 3: Cross multiply
    48,656x = 53,776 × 53,776
  4. Step 4: Simplify right side
    48,656x = 2,891,858,176
  5. Step 5: Solve for x
    x = 2,891,858,176/48,656
  6. Step 6: Final answer
    x = 59,434.77

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.