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Finding the Third Proportional to 25,123.50 and 61,948.13

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Solution

The third proportional to 25,123.50 and 61,948.13 is: 152,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,123.50 : 61,948.13 = 61,948.13 : x
  2. Step 2: Convert to fraction form
    25,123.50/61,948.13 = 61,948.13/x
  3. Step 3: Cross multiply
    25,123.50x = 61,948.13 × 61,948.13
  4. Step 4: Simplify right side
    25,123.50x = 3,837,570,191.02
  5. Step 5: Solve for x
    x = 3,837,570,191.02/25,123.50
  6. Step 6: Final answer
    x = 152,748.23

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.