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Finding the Third Proportional to 55,964 and 77,565.50

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Solution

The third proportional to 55,964 and 77,565.50 is: 107,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,964 : 77,565.50 = 77,565.50 : x
  2. Step 2: Convert to fraction form
    55,964/77,565.50 = 77,565.50/x
  3. Step 3: Cross multiply
    55,964x = 77,565.50 × 77,565.50
  4. Step 4: Simplify right side
    55,964x = 6,016,406,790.25
  5. Step 5: Solve for x
    x = 6,016,406,790.25/55,964
  6. Step 6: Final answer
    x = 107,504.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.