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Finding the Third Proportional to 35,931.52 and 75,587.34

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Solution

The third proportional to 35,931.52 and 75,587.34 is: 159,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,931.52 : 75,587.34 = 75,587.34 : x
  2. Step 2: Convert to fraction form
    35,931.52/75,587.34 = 75,587.34/x
  3. Step 3: Cross multiply
    35,931.52x = 75,587.34 × 75,587.34
  4. Step 4: Simplify right side
    35,931.52x = 5,713,446,535.18
  5. Step 5: Solve for x
    x = 5,713,446,535.18/35,931.52
  6. Step 6: Final answer
    x = 159,009.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.