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Finding the Third Proportional to 24,063.50 and 58,312.50

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Solution

The third proportional to 24,063.50 and 58,312.50 is: 141,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,063.50 : 58,312.50 = 58,312.50 : x
  2. Step 2: Convert to fraction form
    24,063.50/58,312.50 = 58,312.50/x
  3. Step 3: Cross multiply
    24,063.50x = 58,312.50 × 58,312.50
  4. Step 4: Simplify right side
    24,063.50x = 3,400,347,656.25
  5. Step 5: Solve for x
    x = 3,400,347,656.25/24,063.50
  6. Step 6: Final answer
    x = 141,307.28

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.