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Finding the Third Proportional to 32,955.19 and 77,762.53

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Solution

The third proportional to 32,955.19 and 77,762.53 is: 183,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,955.19 : 77,762.53 = 77,762.53 : x
  2. Step 2: Convert to fraction form
    32,955.19/77,762.53 = 77,762.53/x
  3. Step 3: Cross multiply
    32,955.19x = 77,762.53 × 77,762.53
  4. Step 4: Simplify right side
    32,955.19x = 6,047,011,266.41
  5. Step 5: Solve for x
    x = 6,047,011,266.41/32,955.19
  6. Step 6: Final answer
    x = 183,491.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.