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Finding the Third Proportional to 47,089.69 and 70,628.63

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Solution

The third proportional to 47,089.69 and 70,628.63 is: 105,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,089.69 : 70,628.63 = 70,628.63 : x
  2. Step 2: Convert to fraction form
    47,089.69/70,628.63 = 70,628.63/x
  3. Step 3: Cross multiply
    47,089.69x = 70,628.63 × 70,628.63
  4. Step 4: Simplify right side
    47,089.69x = 4,988,402,669.39
  5. Step 5: Solve for x
    x = 4,988,402,669.39/47,089.69
  6. Step 6: Final answer
    x = 105,934.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.