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Finding the Third Proportional to 25,623 and 37,444.50

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Solution

The third proportional to 25,623 and 37,444.50 is: 54,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,623 : 37,444.50 = 37,444.50 : x
  2. Step 2: Convert to fraction form
    25,623/37,444.50 = 37,444.50/x
  3. Step 3: Cross multiply
    25,623x = 37,444.50 × 37,444.50
  4. Step 4: Simplify right side
    25,623x = 1,402,090,580.25
  5. Step 5: Solve for x
    x = 1,402,090,580.25/25,623
  6. Step 6: Final answer
    x = 54,720.00

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.