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Finding the Third Proportional to 21,547.50 and 45,703.88

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Solution

The third proportional to 21,547.50 and 45,703.88 is: 96,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.50 : 45,703.88 = 45,703.88 : x
  2. Step 2: Convert to fraction form
    21,547.50/45,703.88 = 45,703.88/x
  3. Step 3: Cross multiply
    21,547.50x = 45,703.88 × 45,703.88
  4. Step 4: Simplify right side
    21,547.50x = 2,088,844,190.02
  5. Step 5: Solve for x
    x = 2,088,844,190.02/21,547.50
  6. Step 6: Final answer
    x = 96,941.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.