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Finding the Third Proportional to 46,140 and 60,583.50

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Solution

The third proportional to 46,140 and 60,583.50 is: 79,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,140 : 60,583.50 = 60,583.50 : x
  2. Step 2: Convert to fraction form
    46,140/60,583.50 = 60,583.50/x
  3. Step 3: Cross multiply
    46,140x = 60,583.50 × 60,583.50
  4. Step 4: Simplify right side
    46,140x = 3,670,360,472.25
  5. Step 5: Solve for x
    x = 3,670,360,472.25/46,140
  6. Step 6: Final answer
    x = 79,548.34

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.