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Finding the Third Proportional to 30,656.25 and 46,875.38

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Solution

The third proportional to 30,656.25 and 46,875.38 is: 71,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.25 : 46,875.38 = 46,875.38 : x
  2. Step 2: Convert to fraction form
    30,656.25/46,875.38 = 46,875.38/x
  3. Step 3: Cross multiply
    30,656.25x = 46,875.38 × 46,875.38
  4. Step 4: Simplify right side
    30,656.25x = 2,197,300,781.39
  5. Step 5: Solve for x
    x = 2,197,300,781.39/30,656.25
  6. Step 6: Final answer
    x = 71,675.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.