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Finding the Third Proportional to 21,528.75 and 45,618

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Solution

The third proportional to 21,528.75 and 45,618 is: 96,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528.75 : 45,618 = 45,618 : x
  2. Step 2: Convert to fraction form
    21,528.75/45,618 = 45,618/x
  3. Step 3: Cross multiply
    21,528.75x = 45,618 × 45,618
  4. Step 4: Simplify right side
    21,528.75x = 2,081,001,924
  5. Step 5: Solve for x
    x = 2,081,001,924/21,528.75
  6. Step 6: Final answer
    x = 96,661.53

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Why These Related Problems?

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