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Finding the Third Proportional to 42,931.50 and 63,155

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Solution

The third proportional to 42,931.50 and 63,155 is: 92,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,931.50 : 63,155 = 63,155 : x
  2. Step 2: Convert to fraction form
    42,931.50/63,155 = 63,155/x
  3. Step 3: Cross multiply
    42,931.50x = 63,155 × 63,155
  4. Step 4: Simplify right side
    42,931.50x = 3,988,554,025
  5. Step 5: Solve for x
    x = 3,988,554,025/42,931.50
  6. Step 6: Final answer
    x = 92,905.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.