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Finding the Third Proportional to 34,688 and 54,875.50

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Solution

The third proportional to 34,688 and 54,875.50 is: 86,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,688 : 54,875.50 = 54,875.50 : x
  2. Step 2: Convert to fraction form
    34,688/54,875.50 = 54,875.50/x
  3. Step 3: Cross multiply
    34,688x = 54,875.50 × 54,875.50
  4. Step 4: Simplify right side
    34,688x = 3,011,320,500.25
  5. Step 5: Solve for x
    x = 3,011,320,500.25/34,688
  6. Step 6: Final answer
    x = 86,811.59

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.