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Finding the Third Proportional to 45,802.13 and 72,700.03

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Solution

The third proportional to 45,802.13 and 72,700.03 is: 115,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,802.13 : 72,700.03 = 72,700.03 : x
  2. Step 2: Convert to fraction form
    45,802.13/72,700.03 = 72,700.03/x
  3. Step 3: Cross multiply
    45,802.13x = 72,700.03 × 72,700.03
  4. Step 4: Simplify right side
    45,802.13x = 5,285,294,543.75
  5. Step 5: Solve for x
    x = 5,285,294,543.75/45,802.13
  6. Step 6: Final answer
    x = 115,394.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.