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Finding the Third Proportional to 56,598 and 76,592.50

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Solution

The third proportional to 56,598 and 76,592.50 is: 103,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598 : 76,592.50 = 76,592.50 : x
  2. Step 2: Convert to fraction form
    56,598/76,592.50 = 76,592.50/x
  3. Step 3: Cross multiply
    56,598x = 76,592.50 × 76,592.50
  4. Step 4: Simplify right side
    56,598x = 5,866,411,056.25
  5. Step 5: Solve for x
    x = 5,866,411,056.25/56,598
  6. Step 6: Final answer
    x = 103,650.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.