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Finding the Third Proportional to 46,413 and 72,393.50

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Solution

The third proportional to 46,413 and 72,393.50 is: 112,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413 : 72,393.50 = 72,393.50 : x
  2. Step 2: Convert to fraction form
    46,413/72,393.50 = 72,393.50/x
  3. Step 3: Cross multiply
    46,413x = 72,393.50 × 72,393.50
  4. Step 4: Simplify right side
    46,413x = 5,240,818,842.25
  5. Step 5: Solve for x
    x = 5,240,818,842.25/46,413
  6. Step 6: Final answer
    x = 112,917.05

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.