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Finding the Third Proportional to 30,030.75 and 47,108.25

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Solution

The third proportional to 30,030.75 and 47,108.25 is: 73,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030.75 : 47,108.25 = 47,108.25 : x
  2. Step 2: Convert to fraction form
    30,030.75/47,108.25 = 47,108.25/x
  3. Step 3: Cross multiply
    30,030.75x = 47,108.25 × 47,108.25
  4. Step 4: Simplify right side
    30,030.75x = 2,219,187,218.06
  5. Step 5: Solve for x
    x = 2,219,187,218.06/30,030.75
  6. Step 6: Final answer
    x = 73,897.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.