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Finding the Third Proportional to 35,117.30 and 76,804.14

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Solution

The third proportional to 35,117.30 and 76,804.14 is: 167,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,117.30 : 76,804.14 = 76,804.14 : x
  2. Step 2: Convert to fraction form
    35,117.30/76,804.14 = 76,804.14/x
  3. Step 3: Cross multiply
    35,117.30x = 76,804.14 × 76,804.14
  4. Step 4: Simplify right side
    35,117.30x = 5,898,875,417.11
  5. Step 5: Solve for x
    x = 5,898,875,417.11/35,117.30
  6. Step 6: Final answer
    x = 167,976.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.