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Finding the Third Proportional to 29,980 and 43,312.50

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Solution

The third proportional to 29,980 and 43,312.50 is: 62,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980 : 43,312.50 = 43,312.50 : x
  2. Step 2: Convert to fraction form
    29,980/43,312.50 = 43,312.50/x
  3. Step 3: Cross multiply
    29,980x = 43,312.50 × 43,312.50
  4. Step 4: Simplify right side
    29,980x = 1,875,972,656.25
  5. Step 5: Solve for x
    x = 1,875,972,656.25/29,980
  6. Step 6: Final answer
    x = 62,574.14

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.